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

Publish place: Analytical and Numerical Solutions for Nonlinear Equations، Vol: 6، Issue: 2
Publish Year: 1400
Type: Journal paper
Language: English
View: 223

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Link to this Paper:
https://civilica.com/doc/1541365

Document National Code:

JR_GADM-6-2_005

Index date: 22 October 2022

Shifted Legendre Tau Method for Solving the Fractional Stochastic Integro-Differential Equations abstract

‎In this paper‎, ‎the Tau method based on shifted Legendre polynomials is proposed for solving a class of fractional stochastic integro-differential equations‎. ‎For this purpose‎, ‎shifted Legendre polynomials and their properties are introduced‎. ‎By using the operational matrices of integration and stochastic Ito-integration we transform the problem into the corresponding linear system of algebraic equations‎. ‎Finally the efficiency of the proposed method is confirmed by some examples‎. ‎The results show that this method is very accurate and efficient‎.

Shifted Legendre Tau Method for Solving the Fractional Stochastic Integro-Differential Equations Keywords:

‎Shifted Legendre polynomials‎ , ‎Fractional stochastic integro-differential equation‎ , ‎Ito integral

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