Discrete superconvergent degenerate kernel method for Fredholm integral equations
| Autor: | Ahmed Boujraf, M. Tahrichi, Chafik Allouch |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Numerical Analysis
General Computer Science Applied Mathematics MathematicsofComputing_NUMERICALANALYSIS 010103 numerical & computational mathematics 02 engineering and technology Fredholm integral equation Superconvergence 01 natural sciences Integral equation Projection (linear algebra) Mathematics::Numerical Analysis Theoretical Computer Science Numerical integration symbols.namesake Kernel method Iterated function Modeling and Simulation Kernel (statistics) 0202 electrical engineering electronic engineering information engineering symbols Applied mathematics 020201 artificial intelligence & image processing 0101 mathematics Mathematics |
| Zdroj: | Mathematics and Computers in Simulation. 164:24-32 |
| ISSN: | 0378-4754 |
| Popis: | Approximate solutions of integral equations using methods related to an interpolatory projection involve many integrals which need to be evaluated using a numerical quadrature formula. In this paper, we propose the discrete version of the superconvergent degenerate kernel method for solving Fredholm integral equation of the second kind with a smooth kernel. Using sufficiently accurate numerical quadrature rule, we obtain optimal convergence rates for both approximated solution and iterated discrete solution. Numerical results are presented to illustrate the theoretical estimates for the error of this method. |
| Databáze: | OpenAIRE |
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