دوره 16، شماره 1 - ( 2-1400 )                   جلد 16 شماره 1 صفحات 145-168 | برگشت به فهرست نسخه ها

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Pourgholi R, Tahmasbi A, Azimi R. Application of Tau Approach for Solving Integro-Differential Equations with a Weakly Singular Kernel. IJMSI. 2021; 16 (1) :145-168
URL: http://ijmsi.ir/article-1-1266-fa.html
Application of Tau Approach for Solving Integro-Differential Equations with a Weakly Singular Kernel. مجله علوم ریاضی و انفورماتیک. 1400; 16 (1) :145-168

URL: http://ijmsi.ir/article-1-1266-fa.html


چکیده:  
In this work, the convection-diffusion integro-differential equation with a weakly singular kernel is discussed. The  Legendre spectral tau method is introduced for finding the unknown function. The proposed method is based on expanding the approximate solution as the elements of a shifted Legendre polynomials. We reduce the problem to a set of algebraic equations by using operational matrices. Also the convergence analysis for  shifted Legendre polynomials and error estimation for tau method have been discussed and approved with the exact solution. Finally, several numerical examples are given to demonstrate the high accuracy of the method.
نوع مطالعه: پژوهشي | موضوع مقاله: عمومى

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