Chebyshev polynomial solution of nonlinear integral equations |
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| Authors: | Changqing Yang |
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| Institution: | 1. IUMA-Departamento Matemática Aplicada, Universidad de Zaragoza, 50009-Zaragoza, Spain;2. Vakgroep Toegepaste Wiskunde, Informatica en Statistiek, Universiteit Gent, Krijgslaan 281-S9 B9000 Gent, Belgium;1. School of Science, Ningbo University of Technology, 315211 Ningbo, China;2. School of Applied Mathematics, Xiamen University of Technology, 361024 Xiamen, China;1. Department of Mathematics, Shiraz University of Technology, Shiraz, Iran;2. Faculty of Natural and Agricultural Sciences, University of the Free State, South Africa |
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| Abstract: | In the current work, the Chebyshev collocation method is adopted to find an approximate solution for nonlinear integral equations. Properties of the Chebyshev polynomials and operational matrix are used in the integral equation of a system consisting of nonlinear algebraic equations with the unknown Chebyshev coefficients. Numerical examples are presented to illustrate the method and results are discussed. |
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