Numerical solution of two-dimensional fractional order Volterra integro-differential equations
Source abstract
Abstract
The present paper is concerned with the implementation of the optimal homotopy asymptotic method to find the approximate solutions of two-dimensional fractional order Volterra integro-differential equations. The technique’s applicability and validity are tested through some numerical examples. The fractional order derivatives are calculated using Caputo’s sense. Results obtained by the proposed technique are compared with the Legendre wavelet method. The proposed method provides us with efficient and more accurate solutions than the other existing methods in the literature. Error analysis and convergence of the proposed method are also provided in the paper.
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Research context
OpenAlex topics: Fractional Differential Equations Solutions · Iterative Methods for Nonlinear Equations · Differential Equations and Numerical Methods
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Mathematics, Abdul Wali Khan University Mardan 1 , Mardan, Khyber Pakhtunkhwa 23200, Pakistan
Department of Mathematics, College of Arts and Sciences, Prince Sattam Bin Abdulaziz University 2 , Wadi Aldawaser 11991, Saudi Arabia
Department of Mathematics, Faculty of Applied Science, Umm Al-Qura University 3 , P.O. Box 14949, Makkah, Saudi Arabia
Department of Mathematics and Statistics, College of Science, Taif University 4 , P.O. Box 11099, Taif 21944, Saudi Arabia
Department of Physics, College of Sciences, University of Bisha 5 , P.O. Box 344, Bisha 61922, Saudi Arabia
Physics Department, Faculty of Science, Al-Azhar University 6 , Assiut 71524, Egypt
Funding
Taif University
References (35)
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