Numerical solution of nonlinear Fredholm integrodifferential equations of fractional order by using hybrid of block-pulse functions and Chebyshev polynomials (Q410354)
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scientific article; zbMATH DE number 6021069
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical solution of nonlinear Fredholm integrodifferential equations of fractional order by using hybrid of block-pulse functions and Chebyshev polynomials |
scientific article; zbMATH DE number 6021069 |
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Numerical solution of nonlinear Fredholm integrodifferential equations of fractional order by using hybrid of block-pulse functions and Chebyshev polynomials (English)
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3 April 2012
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Summary: A numerical method for solving nonlinear Fredholm integral equations of second kind is proposed. The Fredholm-type equations, which have many applications in mathematical physics, are then considered. The method is based upon hybrid function approximate. The properties of hybrid of block-pulse functions and Chebyshev series are presented and are utilized to reduce the computation of nonlinear Fredholm integral equations to a system of nonlinear. Some numerical examples are selected to illustrate the effectiveness and simplicity of the method.
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