GÜLSU, Mustafa Mugla University - Faculty of Science - Department of Mathematics, Turkey , ÖZTÜRK, Yalçın Mugla University - Faculty of Science - Department of Mathematics, Turkey , SEZER, Mehmet Mugla University - Faculty of Science - Department of Mathematics, Turkey

Numerical solution of Logaritmic singular integro differential equations

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The main purpose of this article is to present an approximation method for logarithmic singular (Symm’s integral equation [1] integro-differential equations in the most general form under the mixed conditions in terms of the first kind Chebyshev polynomials. This method is based on the first-kind Chebyshev polynomials. The solution is obtained in terms of the first-kind Chebyshev polynomials. This scheme is based on taking the truncated the first-kind Chebyshev expansion of the function in the Logaritmic singular integro-differential equations. Hence, the result matrix equation can be solved and the unknown the first-kind Chebyshev polynomial coefficients can be found approximately. The error analysis and convergence for the proposed method is also introduced.

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The first , kind Chebyshev polynomial , collocation methods , logarithmic integral equation , Symm’s integral equation , approximation method.

Erciyes University Journal Of The Institute Of Science an‎d Technology

108