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Number of publications : 121
“Generalization of Sturm’s Theorems”, KOVS VUT A-12, pp 133-139, Brno, CSSR (). “Generalized Periodic Overimplicit Multistep Method GPOMM”, Aplikacy Matematiky 24 pp 250-272, CSSR (). “Necessary Condition for the Convergence of the GPOMM”, Aplikacy Matematiky 24, pp. 273-283, CSSR (). “An Efficient Frequency Response Computation Using Arnoldi’s Algorithm”, 16th IMACS World Congress on Computation & Applied Mathematics, Vol. 3, pp 1333-1335, Duplin (). Int. J. Computer Mathematics, Vol. 46, pp 183-194 (). “Fuzzy Rank and Fuzzy Matrix”, International Journal of Fuzzy Sets & Systems, Vol. 41, pp 243-249 North Holland (). “Modified OCI Scheme for Two-Boint Boundary-Value Problem”, Int. J. Computer Mathematics Vol. 35, pp 195-205 (). “Chebyshev Solution of Laminar-Boundary-Layer Flow”, Int. J. Computer Mathematics Vol. 33, pp 127-132 (). “Chebyshev method for the Solution of Boundary-Value Problem”, Int. J. Computer Mathematics Vol. 40, pp 251-258 (). “A class of Operator Compact Implicit Methods for Initial-Value problem”, Jour, Inst. Math. & Comp. Sci. Vol. 4, No. 1, pp 127-147 (). “Numerical Solution of Posisson’s Equation by Chebyshev Polynomials”, Bullitin of the Calcutta Mathematical Society Vol. 84, pp 443-449, (). “The Relaxation Schemes for the Two Dimensional Anisotropic Elliptic Partial Differential Equations Using Multigrid Method”, Analele Stuntifice Ale Universitu, AL.I. GUZA IASI Sectiunea Matematic f.2 pp 409-425 (). “The Relaxation Schemes for the 2D and 3D Anisotropic partial Differential Equations Using Multigrid Methods”, Analele Stuntifice Ale Universitatu” AL.I. CUZA” IASI Sectiunae matermatica f.2 pp 305-324 (). “Flux Limiters Fourth, Sixth and Eight Order High Resolution Methods for Hyperbolic Conservation Laws”, Analele Stun tifice Ale Universitatu “Al.I. CUZA” IASI Sectiunea Matematica, f.2, pp 341-366 (). “Flux Limiters Fourth and Sixth Order High Resolution Method for Hyperbolic Conservation Law”, Int. J. Computer Mathematics Vol. 75, pp 71-96, (). “Solitary Wave Solutions for the General KdV Equation by Adomian Decomposition Method”, Appl. Math. and Computation Vol. 154/1, pp 17-29 () (U.S.A.). “Adomian Decomposition Method for Burger’s-Huxley and Burger’s Fisher Equations”, Appl. Math. and Computation, Vol. 159, pp 291-301 () (U.S.A.). “Restrictive Padé Approximation and Parabolic Partial Differential Equation”, Int. J. Computer Math., Vol. 66, pp 343-351, (). “Highly Accurate Method for the Convection-Diffusion equation”, Int. J. Computer Math. Vol. 72, pp 271-280, (). “Highly Accurate Method for Solving initial Boundary Value Problem for First Order Hyperbolic Differential Equation”, Int. J. Computer Math. Vol. 77, pp 251-261, () “Restrictive Taylor Approximation and Parabolic Partial Differential Equations’, Int. J. Computer Math. Vol. 78, pp 73-82, (). “Restrictive Padé Approximation for the Solution of Schrodinger Equation”, Int. J. Computer Math. Vol. 79 (5), pp 603-613, (). “Restrictive Padé Approximation for Solving First Order hyperbolic Partial Differential Equations”, J. Inst. Math. & Comp. Sc., Vol. 11. No. 1, pp 63-73, (). “Restrictive Padé Approximation for Solving First Order Hyperbolic Partial Differential Equation in Two Space Dimensions”, J. Inst. Math. & Comp. Sc., Vol. 11 No. 2, pp 159-166 (). “Restrictive Padé Approximation for the Solution of Singularly Perturbed Parabolic PDE”, J. Inst. Math. & Com. Sc. Vol. 12 No. 2, pp 153-161, (). “Restrictive Padé Approximation for Variable Coefficient Linear Initial Boundary Value Problem or Hyperbolic partial Differential Equations”, J. Inst. Math. & Comp. Sc. Vol. 14, no. 1, pp 1-10 (). “Restrictive Padé Approximation for Solution of Generalized Burger’s Equation” J. Inst. Math. & Comp. Sc. Vol. 14 No. 2, pp 31-35 (). “Restrictive Taylor Approximations for Solving Singularly Perturbed Initial Boundary Value Problems for Parabolic PDE”, J. Inst. Math. & Comp. Sc. Vol. 14, No. 3, pp 19-26 (). “Restrictive Taylor Approximation for Solving Convection – Diffusion Equation”, Appl. Math. & Computation 147, pp 355-363, () (U.S.A). “Restrictive Taylor Approximation for Two Dimensional Initial Boundary Value Problem for Parabolic PDE”, Appl. Math. & Computation 147, pp 607-615, () (U.S.A.). “Restrictive Padé Approximation for the Solution of Generalized Fisher and Generalized Burger-Fisher Equations”, Appl. Math. & Computation, Vol. 154, PP 203-210, () (U.S.A.). Unique Solvability of Restrictive Padé and Restrictive Taylor’s Approximations”, Appl. Math. & Computation 152, pp 89-97, () (U.S.A.). “On the Convergence of the Restrictive Padé Approximation to the Exact Solution of IBVP of Parabolic and Hyperbolic Types”, Appl. Math, and Computation, Vol. 162, pp 155-166, () (U.S.A.) “Comparison Study Between Restrictive Padé, Restrictive Taylor Approximations and Adomain Decomposition Methods for the Solitary Wave Solution of the General KdV Equation”. Appl. Math. & Computation. Vol.167, pp 849-869, () (U.S.A). “Sequential and Parallel Computations and Complexities for Evaluating Frequency Response Matrices”, Scientific Journal of Faculty of Science (Menoufia university) Vol. VIII, pp 267-278. “Two-Dimensional Numerical Technique for Simulating Silicon NPN Transistor”, Journal of Faculty of Education, Ain Shams University, Special Issue for the 1st National Conference of Mathematical & Physical Sciences and Applications, pp 381-390, Cairo. “Multigrid Techniques for the Numerical Solution of Anistropic partial Differential Equations on Various Domains”, Journal of Faculty of Education, Ain Shams University, Special Issue for the 1st National Conference of Mathematical & Physical Sciences and Applications, pp 29-42, Cairo. “Stability Types of Numerical Methods for Stiff Initial Value problem for Ordinary Differential Equation”, 24th International Conference for Statistics & Computer Sciences and its Applications, pp 93-107 Cairo . Sci. Bull. Fac. Eng. Ain Shams Univ. Vol. 34, pp 495-508. “Stable Boundary Value Methods of Stiff Initial Value Problems for Ordianry Differential Equations”, 24th International Conference for Statistics & Computer Sciences and its Applications, pp 109-123 Cairo. Sci. Bull. Fac. Eng. Ain Shams Univ. Vol. 35, pp 481-493. “Restrictive Padé Approximation”, Journal of Faculty of Education, Ain Shams University, Special Issue for the 1st National Conference of Mathematical & Physical Sciences and Applications, pp 63-76, Cairo. “Differential and Integral properties of Padé and Restrictive Padé Approximation”, Journal of Faculty of Education, Ain Shams University, Special Issue for the 1st National Conference of Mathematical & Physical Sciences and Applications, pp 77-90, Cairo. “Observations on the Existence of Solutions for Classes of Initial-Value problems”, 9th International Conference of Statistics & Computer Science V-1, pp 1-5, Cairo. ”Observations on Divided Differences Via Liebnitz Rule”, 14th International Conference of Statistics & Computer Science, V-1, pp 101-115, Cairo. “An Efficient Computation of the Transient Response Evaluation From the State Transition Matrix. IMACS’91, 13th World Congress on Computation & Applied Mathematics, Vol. 3, pp. 1333-1335, Duplin . “Arnoldi Method for Transfer Function Matrices Computation of Linear Multivariable Control Systems”, 4th Conference on Aeronautical Sciences & Aviation Technology, pp 373-382, M.T.C., Cairo. “Implementation of Parallel Multigrid Algorithm on Cluster of Workstations”, 21st International Conference of Statistics & Computer Science & Applications, Vol. 1, pp 263-274, Cairo. “On Stability of Finite Deference Methods For IBVP For Hyperbolic PDE”, 9th International Conference of Statistics & Computer Science, V-1, pp 7-19 Cairo. “On the A-stability of Numerical Multistep Methods for Solving Initial-Value problems in Ordinary Differential Equations with an Example for a Stable Multistep Method of Order 4”, SIGNUM Numerical ODE p 34-1, 34-2, 34-3, UILU, U.S.A. (1979) (Paper presented at the 4th International Conference of Statistics & Computer Science, V-11, pp 141-150, Cairo. “Theoretical Approach to An Implicit and Explicit Stable Algorithm for Solving the Vorticity Equations”, 10th International Conference of Statistics & Computer Science, V-1, pp 57-64 Cairo . “An Efficient Computer Aided Time Domain Analysis Lumped-Distributed Network”, 30th Midwest Symposium on Circuits & Systems, pp 1399-1402, U.S.A. Syracuse. “On the Methods of Deriving New Multistep A-Stable Method for Solving Initial-Value problem in ODEs”, 9th International Conference of Statistics & Computer Science, V-3, pp 357-370 Cairo. “On Generation of Variable Step Size Linear Multisteps Method for Solving the Initial-Value-Problems in Ordinary Differential Equations”, 2nd Operations Research Conferene & Applications, pp 447-786, M.T.C. Cairo. “On A-Stable High-Order Numerical Composite Multistep Methods”, 14th International Conference of Statistics & Computer Science, V-1, pp 117-131, Cairo. “On a New Multistep Methods for a Type of mth Order Initial-Boundary-Value Problems”, 3rd Operations Research Conference & Applications, Vol. 2, pp 748-765, M.T.C. Cairo. “Construction of a Operators of Maximum order for Multistep Methods for a type of Initial-Value problem for Ordianry Differential Equations”, 16th International Conference of Statistics & Computer Science, pp 281-297, Cairo. “New Multistep Methods for a Type of mth Order Initial-Value problems with Examples”, 17th International Conference of Statistics & Computer Science, pp 189-206, Cairo. “Numerical Solution of the Evolution Problem in Banach Space”, 11th Annual Operations Research Conference, V-11, pp 1174-1186, Cairo. “Derivation of the Predictor-Modified-Corrector – Final-Value method for Solving a Delay Differential Equation”, 17th International Conference of Statistics & Computer Science, pp 209-219, Cairo. “Stability of the Predictor-Corrector Method for Delay Differential Equations”, 18th International Conference of Statistics & Computer Science, V-1, pp 309-326, Cairo. “General Predictor-Modified-Corrector- Final Value k-Step Method for Solving System of Delay Differential Equations”, 18th International Conference of Statistics & Computer Science, V-1, pp 329-344, Cairo. “The Numerical Multistep Methods of Differential-Difference Equations of Neutral Type”, 5th Conference on Operations Research & Applications, BOR 9, pp 448-462, MTC, Cairo. “Continued Fractions and Solution of a Class of Differential-Difference Equations”, 19th International Conference of Statistics & Computer Science, V-11, pp 9-23, Cairo. “Comparison Between Miller Alogorithem and Algorithm Based on Continued Fractions for Solving a Class of Difference Equations”, 1st Conference of Functional Differential Equations and Applications, Cairo (1995) and 20th International Conference of Statistics & Computer Science, Vol. III, pp 27-40, Cairo. “Numerical Solution of Partial Differential Equations with Fixed Boundary”, 11th Annual Operations Research Conference, V-11, pp 1162-1173, Cairo. “Numerical Solution of Eigenvalue Problems for Partial Differential Equations”, 14th International Conference of Statistics & Computer Science, V-1, pp 19-36, Cairo. “On the Accuracy of Numerical Solution of Initial-Boundary Value Problems of Parabolic Type”, 11th International Conference of Statistics & Computer Sciences, V-11, pp 215-228, Cairo. “The Error Estimation of Modified Solution of Initial Boundary-Value Problem of Parabolic Type”, 11th International Conference of Statistics & Computer Sciences, V-11, pp 229-244, Cairo. “Numerical Method for Solving the Two Phase Stefan Problem in Multidimensional Space”, 2nd operations Research Conference & Applications, pp. 757-777, M.T.C. Cairo. “A Solution of Hyperbolic Initial-Boundary-Value- Problems in N-Dimension Space”, 13th International Conference of Statistics & Computer Science, V-11, pp 35-44, Cairo. “Accurate Lagrange Multiplier for Equivalent Integral Constraints Method for Parabolic P.D.Es.”, 25th International Conference for Statistics & Computer Sciences and its Applications, Vol. II, pp 11-17, Cairo. “Solution of System of Coupled-Integro-Differential Equations of Electron-Atom Scattering Using Analytic Continuation”, 14th International Conference of Statistics & Computer Science, V-1, pp 405-415, Cairo. “A Computer Program for the Calculation of the Electron-Atom Collision Cross-Section”, 14th International Conference of Statistics & Computer Science, V-1, pp. 417-433, Cairo. “Numerical Model for Sediment Transport Problem”, 22nd International Conference of Statistics & Computer Science & Application, pp 35-48, Cairo. “Two Dimensional Numerical Technique for Silicon Mos Transistor” SIAM Annual Meeting, San Diego, CA, July (1994), International Congress of Mathematics ICM, Zurich, August (1994) and 20th International Conference of Statistics & Computer Sciences, Vol. III, pp 16-26, Cairo. “On Modified Numerical Schemes for Weak Solutions of Initial Value Problems for Hyperbolic Conservation Laws”, 22nd International Conference of Statistics & Computer Science & Application, pp 25-35, Cairo. “High Resolution Implicit Flux Limiter Method for Hyperbolic Conservation Law”, 8th Conference on Applied Mechanics & Mechanical Engineering, pp 515-530, MTC, Cairo. “General Form of Explicit Finite Difference Scheme and the Modification of the Flux Limiter Method for Hyperbolic Conservation Form”, 23rd International Conference of Statistics & Computer Science & Applications, pp 329-344, Cairo. “General Form of Explicit Finite Difference Scheme and the Modification of the Flux Limiter Method for hyperbolic Conservation Laws”, 26th International Conference for Statistics & Computer Sciences and its Applications, Cairo, pp 329-345. “Multigrid Solution For Solving Elliptic Partial Differential Equations with a Mixed Derivative Terms”, 18th International Conference of Statistics & Computer Science, V-1, pp 257-267, Cairo. “multigrid Method for Solving Elliptic Partial Differential Equations with General Boundary Condition”, 18th International Conference of Statistics & Computer Science, V-1, pp 269-280, Cairo. “Three-Dimensional Multigrid Method for Solving Elliptic Partial Differential Equations with General Boundary Conditions”, 5th Conference on Operations Research & Applications, BOR 4, pp 391-400, MTC, Cairo. “On Three-Dimensional Multigrid Method for Solving the General P.D.E. with Mixed Derivative Terms”, 5th Conference on Operations Research & Applications, BOR 5, pp 401-413, MTC, Cairo. “A Polar Coordiantes Multigrid Method for Solving Elliptic Partial Differential Equations in A Quarter of a Unit Circle”, 5th Conference on Operations Research & Applications, BOR 7, pp 421-434, MTC, Cairo. “Multigrid Method for Solving Elliptic partial Differential Equations in a quarter of A Unit Circle”, 5th Conference on Operations Research & Applications, BOR 8, pp 435-447, MTC, Cairo. “Multigrid Methods for Solving the General Elliptic Partial Differential Equations in Three Dimensional Space”, 19th International Conference of Statistics & Computer Science, V-11, pp 1-8, Cairo. “The Implicit Line Relaxation for the Three Dimensional Multigrid Method for Solving the General Elliptic Partial Differential Equation with Mixed Derivative Terms”, 19th International Conference of Statistics & Computer Science, V-11, pp 25-35, Cairo. “Three-Dimensional Full-Multigrid Method for Solving Poisson’s Equation in Spherical Polar Coordinates Using W-Cycle”, 19th International Conference for Statistics & Computer Science V II, pp 37-48, Cairo. “Multigrid Method for Solving Elliptic Partial Differential Equations with a Mixed Derivative Term in Polar Coordinates”, 19th International Conference of Statistics & Computer Science, V-11, pp 49-65, Cairo. “Numerical Solution of Boundary Value Problems in Polar Coordinates Using the Full Multigrid Method”, 1st Conference of Functional Differential Equations and 20th International Conference of Statistics & Computer Science, Vol. II, pp 41-60, Cairo. “Efficient Solution of Variable Coefficients ODE with Examples for Famous Special Functions and Others”, 21st International Conference of Statistics & Computer Science & Application, Vol. 1, pp 305-316, Cairo. “Accelerating Technique for Any Implicit Finite Difference Schemes for Two Dimensional Initial Boundary Value Problem for Parabolic Partial Differential Equations”, 8th Conference on Applied Mechanics & , MTC, Cairo (-Mechanical Engineering, pp 547-553. “Efficient Solutions for Variable Coefficients Ordinary, Partial and Integro-Differential Equations” 8th Conference on Applied Mechanics & Mechanical Engineering, pp 555-564 MTC, Cairo. “Accelerating Technique for any Implicit Finite Difference Scheme for Two Dimensional Convection-Diffusion Equation”, 23rd International Conference for Statistics & Computer Sciences and its Applications, pp 451-456, Cairo. “A Restrictive Padé Approximation for the Solution of Schrodinger Equation”, 24th International Conference for Statistics & Computer Sciences and its Applications, pp 53-59, Cairo. “A Restrictive Padé Approximation for the Solution of Schrodinger Equation in Two Dimensions”, 24th International Conference for Statistics & Computer Sciences and its Applications, pp 61-67, Cairo. “Restrictive Padé approximation for Solving First Order Hyperbolic systems in One Space Dimension”, 25th International Conference for Statistics & Computer Sciences and its Applications, Vol. II, pp 19-25, Cairo. “Restrictive Padé Approximation for Solving First Order Hyperbolic System of Partial Differential Equations in Two Space Dimensions”, 9th International Conference for Aerospace Science & Aviation Technology ASAT-9, pp 51-59, Cairo. “Restrictive Padé Approximation for Singularly Perturbed Initial Boundary Value Problem for Hyperbolic Partial Differential Equations”, 9th International Technology ASAT-9, Cairo, pp 61-69. “Restrictive Padé Approximation for Shrodinger Equation with Variable Coefficients”, 27th International Conference for Statistics & Computer Sciences and its Applications, pp 527-535, Cairo. “Restrictive Padé Approximation for Variable Coefficients Linear Initial-Boundary Value problem for Hyeprbolic Partial Differential Equation”, 27th International Conference for Statistics & Computer Sciences and its Applications, pp 537-545, Cairo. “Restrictive Padé Approximation for the Solution of Burger’s Equation”, 27th International Conference for Statistics & Computer Sciences and its Applications, pp 479-485, Cairo. “Restrictive Padé Approximation for the Solution of Modified Burger’s Equation”, 27th International Conference for Statistics & Computer Sciences and its Applications, pp 487-492, Cairo. “Restrictive Padé Approximation for Variable Coefficients Linear Initial-Boundary Value problem for Hyperbolic Partial Differential Equation in Two Space Dimension”, 1st International Conference of Engineering Mathematics and Physics MTC, pp 90-100, Cairo. “Restrictive Padé Approximation for System of Variable Coefficients Linear Initial-Boundary Value Problem for Hyperbolic Partial Differential Equations”, 1st International Conference on Engineering Mathematics and physics MTC, pp 72-79, Cairo. “Restrictive Taylor’s Approximation for Solving Two Dimensional Convection-Diffusion Equation”, 1st International Conference on Engineering Mathematics and physics MTC, pp 63-74, Cairo. “Restrictive Taylor’s Approximation for Solving Singularly Perturbed Initial Boundary Value Problem for Hyperbolic PDE”, 28th International Conference of Statistics & Computer Science and its Applications, Vol. 3, pp 9-16, Cairo. “Restrictive Padé Approximation for the Solution of Generalized Huxley Equation and Generalized Burger’s Huxley Equations”. 28th International Conference of Statistics & Computer Science and its Applications, Vol. 3, pp 17-24 Cairo. “On the convergence of the Restrictive Taylor Approximation to the Exact Solution of IBVP of Parbolic, Hyperbolic, Convection Diffusion and KdV Equations”. 29th International Conference of Statistics & Computer Science and its Applications, Vol. 2, pp 11-22 Cairo. “On the Convergence of the Restrictive Padé Approximation to the Exact Solution of Non-Linear IBVP for the Generalized Burger’s-Huxley and Generalized Burger’s-Fisher Equations”, 29th International Conference of Statistics & Computer Science and its Applications, Vol. 2 pp 23-32 Cairo. “On the General Term of a Cauchy Product of Two Series of the Truncation Error or Restrictive Padé Approximation for Problems of Parabolic and Hyperbolic Types”, 29th International Conference of Statistics & Computer Science and its Applications, Vol. 2, pp 33-45 Cairo. “Convergence Invariance of Restrictive Levels for Restrictive Padé Approximation to the Exact Solution of a Class of IBVP of Parabolic and Hyperbolic Types”, Sent for Appl. Math. & Computation Second International Conference on Engineering Mathematics and Physics EMP, pp 30-34, Cairo, Egypt. “Comparison between the Adomain Decomposition Method and the Restrictive Padé Approximatin Method for Burger’s-Huxley and Burger’s- Fisher Equations”, Second International Conference on Engineering Mathematics and Physics EMP, pp 44-55, Cairo. “Non linear Schrödinger Equation Via Restrictive Pade’ Approximation” 30th International Conference of Statistics & Computer Science and its Applications vol. 2, pp 61-67, Cairo. “More General Approach on the Convergence of the Restrictive Padé Approximation to the Exact Solution of the Types of IBVPs for Parabolic and Hyeprbolic PDEs”, 30th International conference of Statistics & Computer Science and its Applications, vol. 2, pp 51- 60 Cairo. “Implicit Restrictive Padé Method of Almost Exact Solution for IBVPs for Two-Dimensional Parabolic PDEs”, The 31th International Conference for Statistics & Computer Science and its Applications, Cairo, Vol. 2, pp 37- 47. “Explicit Restrictive Taylor Method of Almost Exact Solution for IBVPs for Two-Dimensional Parabolic PDEs”, The 31th International Conference for Statistics & Computer Science and its Applications, Cairo, Vol. 2, pp 49-59. “On Rounding-Off Error & Restrictive Approximations”, The 31th International Conference for Statistics & Computer Science and its Applications, Cairo, Vol. 2, pp 61-73. “Restrictive Approximations for Higher Dimension IBVP for Parabolic PDEs”, 3rd International Conference on Mathematics and Engineering Physics ICMEP-3, M.T.C. Cairo, EM11, pp 106-119. “Restrictive Approximations of Initial Value Problems for Ordinary Differential Equations”, 3rd International Conference on Mathematics and Engineering Physics ICMEP-3, M.T.C. Cairo, EM10, pp 92-105. “Semi Group of linear Operator Via the Reduction of Restrictive Pade Algorithm to the Exact Solution for Types of IBVP for Parabolic and Hyperbolic PDEs”. The 32nd International Conference for Statistics, Computer Science and its Applications, Cairo, Vol. 2, pp 1-10. “Improved Variational Iteration Method for Solving Non-Linear Partial Differential Equations”. 32nd International Conference for Statistics & Computer Science and its Applications, Cairo, Vol. 2, pp 11-25. "Solitary Wave Solutions of the Generalized Improved KdV Equation by Adomian Decomposition Methods". 33rd International Conference for Statistics & Computer Science and its Applications, Vol. 2, Cairo, pp 1-6.
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