Numerical treatment of second kind Fredholm integral equations systems on bounded intervals
β Scribed by M.C. De Bonis; C. Laurita
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 276 KB
- Volume
- 217
- Category
- Article
- ISSN
- 0377-0427
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β¦ Synopsis
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.
π SIMILAR VOLUMES
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.
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