أعضاء هيئة التدريس - جامعة بنها
On the Performance of Haar Wavelet Approach for Boundary Value Problems and Systems of Fredholm Integral Equations
Mathematics and Computer Science • 2017
معلومات البحث
المؤلفون
I. K. Youssef & R. A. Ibrahim
الكلمات المفتاحية
Integral Equations, Haar Wavelets, BVP, System of Integral Equations, Collocation Method
المجلة العلمية
Mathematics and Computer Science
الناشر
Scence Publishing Group
المجلد
2
العدد
4
الصفحات
39-46
publication.type
International
رابط البحث
Not Available
المواد المرفقة
Not Available
الملخص
The Haar wavelet method applied to different kinds of integral equations (Fredholm integral equation,
integro-differential equations and system of linear Fredholm integral equations) and boundary value problems (BVP)
representation of integral equations. Three test problems whose exact solutions are known were considered to measure the
performance of Haar wavelet. The calculations show that solving the problem as integral equation is more accurate than solving
it as differential equation. Also the calculations show the efficiency of Haar wavelet in case of F. I. E. S and integro-differential
equations comparing with other methods, especially when we increase the number of collocation points. All calculations are
done by the Computer Algebra Facilities included in Mathematica 10.2
integro-differential equations and system of linear Fredholm integral equations) and boundary value problems (BVP)
representation of integral equations. Three test problems whose exact solutions are known were considered to measure the
performance of Haar wavelet. The calculations show that solving the problem as integral equation is more accurate than solving
it as differential equation. Also the calculations show the efficiency of Haar wavelet in case of F. I. E. S and integro-differential
equations comparing with other methods, especially when we increase the number of collocation points. All calculations are
done by the Computer Algebra Facilities included in Mathematica 10.2