Solving systems of fractional two-dimensional nonlinear partial Volterra integral equations by using Haar wavelets-Reference-Cited by-同舟云学术

Solving systems of fractional two-dimensional nonlinear partial Volterra integral equations by using Haar wavelets

Published:2021-04-16 Issue:2 Volume:27 Page:239-257
ISSN:1425-6908
Container-title:Journal of Applied Analysis
language:en
Short-container-title:

Author:

Khajehnasiri Amir Ahmad¹,Ezzati R.²,Afshar Kermani M.¹

Affiliation:

1. Department of Mathematics , North Tehran Branch , Islamic Azad University , Tehran , Iran

2. Department of Mathematics , Karaj Branch , Islamic Azad University , Karaj , Iran

Abstract

Abstract The main aim of this paper is to use the operational matrices of fractional integration of Haar wavelets to find the numerical solution for a nonlinear system of two-dimensional fractional partial Volterra integral equations. To do this, first we present the operational matrices of fractional integration of Haar wavelets. Then we apply these matrices to solve systems of two-dimensional fractional partial Volterra integral equations (2DFPVIE). Also, we present the error analysis and convergence as well. At the end, some numerical examples are presented to demonstrate the efficiency and accuracy of the proposed method.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Computational Theory and Mathematics,Statistics, Probability and Uncertainty,Mathematical Physics

Link

https://www.degruyter.com/document/doi/10.1515/jaa-2021-2050/pdf

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