CAS Wavelet Function Method for Solving Abel Equations with Error Analysis
In this paper we use a computational method based on CAS wavelets for solving nonlinear fractional order Volterra integral equations. We solve particularly Abel equations. An operational matrix of fractional order integration for CAS wavelets is used. Block Pulse Functions (BPFs) and collocation met...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Ayandegan Institute of Higher Education,
2017-12-01
|
| Series: | International Journal of Research in Industrial Engineering |
| Subjects: | |
| Online Access: | http://www.riejournal.com/article_54493_78da80d54334fe864a5d5dc0f111f61b.pdf |
| Summary: | In this paper we use a computational method based on CAS wavelets for solving nonlinear fractional order Volterra integral equations. We solve particularly Abel equations. An operational matrix of fractional order integration for CAS wavelets is used. Block Pulse Functions (BPFs) and collocation method are employed to derive a general procedure for forming this matrix. The error analysis of proposed numerical scheme is studied theoretically. Finally, comparison of numerical results with exact solution are shown. |
|---|---|
| ISSN: | 2783-1337 2717-2937 |