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legendre spectral tau method for solving the fractional integro–differential equations with a weakly singular kernel
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نویسنده
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azimi ruhangiz ,mohagheghy nezhad mostafa ,pourgholi reza
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منبع
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analytical and numerical solutions for nonlinear equations - 2022 - دوره : 7 - شماره : 1 - صفحه:11 -31
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چکیده
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In this paper, the tau method based on shifted legendre polynomials has been introduced to approximate the numerical solutions of a class of fractional integro-differential equations with a weakly singular kernel. by using operational matrices we reduce the problem to a set of algebraic equations. also, the upper bound of the error of the shifted legendre expansion is investigated. finally, several numerical examples are given to illustrate the high accuracy of the method.
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کلیدواژه
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shifted legendre tau method ,weakly singular kernel ,fractional integro-differential equation
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آدرس
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adib mazandaran institute of higher education, iran, adib mazandaran institute of higher education, iran, damghan university, school of mathematics and computer sciences, iran
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پست الکترونیکی
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pourgholi@du.ac.ir
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Authors
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