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Dr. Reda Abd-El-Kader Mohamed Ibrahim :: Publications: |
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| Title: | On the Performance of Haar Wavelet Approach for
Boundary Value Problems and Systems of Fredholm
Integral Equations |
| Authors: | I. K. Youssef & R. A. Ibrahim |
| Year: | 2017 |
| Keywords: | Integral Equations, Haar Wavelets, BVP, System of Integral Equations, Collocation Method |
| Journal: | Mathematics and Computer Science |
| Volume: | 2 |
| Issue: | 4 |
| Pages: | 39-46 |
| Publisher: | Scence Publishing Group |
| Local/International: | International |
| Paper Link: | Not Available |
| Full paper | Reda Abd-El-Kader Mohamed Ibrahim _On the Performance of Haar Wav, Approch for BVP and Systems of FIE.pdf |
| Supplementary materials | Not Available |
| Abstract: |
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 |
