A rational spectral collocation method for solving Fredholm integral equations on the whole line
| Autor: | Azedine Rahmoune, Ahmed Guechi |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Numerical analysis
Applied Mathematics MathematicsofComputing_NUMERICALANALYSIS Rational function Integral equation Theoretical Computer Science Algebraic equation symbols.namesake Computational Mathematics Computational Theory and Mathematics Simple (abstract algebra) Collocation method ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION Line (geometry) symbols Applied mathematics Gaussian quadrature Mathematics |
| Zdroj: | International Journal of Computing Science and Mathematics. 13:32 |
| ISSN: | 1752-5063 1752-5055 |
| DOI: | 10.1504/ijcsm.2021.114184 |
| Popis: | In this paper, a numerical method is proposed to solve a class of linear Fredholm integral equations on the whole line. The method is developed by means of mapped Gegenbauer rational functions. A special quadrature rule based on mapped Gegenbauer-Gauss points and weights is then utilised to evaluate the infinite integrals appeared in the scheme. Thus, the solution of the problem reduces to the solution of a simple system of algebraic equations. Convergence and error analysis are discussed and numerical examples illustrate the efficiency of the method. |
| Databáze: | OpenAIRE |
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