Numerical solution of nonlinear two-dimensional Fredholm integral equations of the second kind using Gauss product quadrature rules
| Autor: | Sohrab Bazm, E. Babolian |
|---|---|
| Rok vydání: | 2012 |
| Předmět: |
Numerical Analysis
Applied Mathematics Mathematical analysis MathematicsofComputing_NUMERICALANALYSIS Fredholm integral equation Fredholm theory Integral equation Gauss–Kronrod quadrature formula Local convergence Numerical integration symbols.namesake Modeling and Simulation Collocation method symbols Nyström method Mathematics |
| Zdroj: | Communications in Nonlinear Science and Numerical Simulation. 17:1215-1223 |
| ISSN: | 1007-5704 |
| DOI: | 10.1016/j.cnsns.2011.08.017 |
| Popis: | The Gauss product quadrature rules and collocation method are applied to reduce the second-kind nonlinear two-dimensional Fredholm integral equations (FIE) to a nonlinear system of equations. The convergence of the proposed numerical method is proved under certain conditions on the kernel of the integral equation. An iterative method for approximating the solution of the obtained nonlinear system is provided and its convergence is proved. Also, some numerical examples are presented to show the efficiency and accuracy of the proposed method. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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