Haar wavelet techniques for the solution of ODE and PDE is discussed. Based on the Chen-Hsiao method [C.F. Chen, C.H. Hsiao, Haar wavelet method for solving lumped and distributed-parameter systems, IEE Proc.-Control Theory Appl. 144 (1997) 87-94; C.F. Chen, C.H. Hsiao, Wavelet approach to optimisin
Numerical solution of nonlinear Fredholm integral equations of the second kind using Haar wavelets
β Scribed by E. Babolian; A. Shahsavaran
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 418 KB
- Volume
- 225
- Category
- Article
- ISSN
- 0377-0427
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β¦ Synopsis
In this work, we present a computational method for solving nonlinear Fredholm integral equations of the second kind which is based on the use of Haar wavelets. Error analysis is worked out that shows efficiency of the method. Finally, we also give some numerical examples.
π SIMILAR VOLUMES
In this paper an iterative approach for obtaining approximate solutions for a class of nonlinear Fredholm integral equations of the second kind is proposed. The approach contains two steps: at the first one, we define a discretized form of the integral equation and prove that by considering some con
In this paper the authors propose numerical methods to approximate the solutions of systems of second kind Fredholm integral equations. They prove that such methods are stable and convergent. Error estimates in weighted L p norm, 1 p + β, are given and some numerical tests are shown.