Numerical Solution of Singular Integro-differential Equations with Cauchy Kernel
نویسندگان
چکیده
The main purpose of this article is to present an approximation method of for singular integrodifferential equations with Cauchy kernel in the most general form under the mixed conditions in terms of the second kind Chebyshev polynomials. This method transforms mixed singular integro-differential equations with Cauchy kernel and the given conditions into matrix equation and using the zeroes of the second kind Chebyshev polynomials, the matrix equation turns a system of linear algebraic equation. The error analysis and convergence for the proposed method is also introduced. Finally, some numerical examples are presented.
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