Numerical solution of a type of weakly singular nonlinear Volterra integral equation by Tau Method

Journal of Linear and Topological Algebra

مقاله 1، دوره 07، شماره 02، شهریور 2018، صفحه 75-85   

نوع مقاله: Research Paper

نویسندگان

H. Laeli Dastjerdi؛ M. Nili Ahmadabadi^*

Department of Mathematics, Najafabad Branch, Islamic Azad University, Najafabad, Iran

چکیده

‎In this paper‎, ‎a matrix based method is considered for the solution of a class of nonlinear Volterra integral equations with a kernel of the general form $s^{\beta}(t-s)^{-\alpha}G(y(s))$ based on the Tau method‎. ‎In this method‎, ‎a transformation of the independent variable is first introduced in order to obtain a new equation with smoother solution‎. ‎Error analysis of this method is also presented‎. ‎Some numerical examples are provided to illustrate the accuracy and computational efficiency of the method‎.

کلیدواژه‌ها

‎W‎eakly singular؛ Volterra integral equations؛ Nonlinear Equations؛ Lighthill equation؛ Tau method

مراجع

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