Shifted Legendre Tau Method for Solving the Stochastic Weakly Singular Integro-Differential Equations

Publish Year: 1400
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_GADM-6-2_008

تاریخ نمایه سازی: 30 مهر 1401

Abstract:

‎In this paper‎, ‎the stochastic weakly singular integro-differential equation is discussed‎. ‎The shifted Legendre Tau method is introduced for finding the unknown function‎. ‎For this purpose‎, ‎shifted Legendre polynomials and their properties are introduced‎. ‎The proposed method is based on expanding the approximate solution as the elements of shifted Legendre polynomials‎. ‎We reduce the problem to set of algebraic equations by using operational matrices‎. ‎Also the convergence analysis of shifted Legendre polynomials and error estimation for this method have been discussed‎. ‎Finally‎, ‎several numerical examples are given to demonstrate the high accuracy of the method‎.

Authors

Ruhangiz Azimi

Associate Professor, Mathematics and Computer Science Department, Adib mazandaran institute of higher education, Sari, Iran

Mostafa Mohagheghy Nezhad

Associate Professor,Mathematica and Computer Science Department, Adib mazandaran institute of higher education, Sari, Iran

Saedeh Foadian

School of Mathematics and Computer Science, Damghan University, Damghan, Iran

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