Theme-Logo
  • Login
  • Home
  • Course
  • Publication
  • Theses
  • Reports
  • Published books
  • Workshops / Conferences
  • Supervised PhD
  • Supervised MSc
  • Supervised projects
  • Education
  • Language skills
  • Positions
  • Memberships and awards
  • Committees
  • Experience
  • Scientific activites
  • In links
  • Outgoinglinks
  • News
  • Gallery
publication name Numerical Solution of Volterra-Fredholm Integral Equations Using Hybrid Orthonormal Bernstein and Block-Pulse Functions
Authors Mohamed R. Ali
year 2017
keywords Hybrid orthonormal Bernstein and Block-Pulse functions; linear Volterra-Fredholm integral equations; integration of the cross product; product matrix; coefficient matrix.
journal Asian Research Journal of Mathematics
volume 4
issue 4
pages 1-14
publisher Not Available
Local/International International
Paper Link Not Available
Full paper download
Supplementary materials Not Available
Abstract

We have proposed an efficient numerical method to solve a class of mixed Volterra-Fredholm integral equations (VFIE’s) of the second kind, numerically based on Hybrid Orthonormal Bernstein and BlockPulse Functions (OBH). The aim of this paper is to apply OBH method to obtain approximate solutions of nonlinear Fuzzy Fredholm Integro-differential Equations. First we introduce properties of Hybrid Orthonormal Bernstein and Block-Pulse Functions, we used it to transform the integral equations to the system of linear algebraic equations then an iterative approach is proposed to obtain approximate solution of class of linear algebraic equations, a numerical examples is presented to illustrate the proposed method. The error estimates of the proposed method is given.

Benha University © 2023 Designed and developed by portal team - Benha University