Numerical simulation for generalized space-time fractional Klein–Gordon equations via Gegenbauer wavelet-Reference-Cited by-同舟云学术

Numerical simulation for generalized space-time fractional Klein–Gordon equations via Gegenbauer wavelet

Published:2022-10-14 Issue:0 Volume:0 Page:
ISSN:1565-1339
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:en
Short-container-title:

Author:

Faheem Mo¹,Khan Arshad¹,Malik Muslim²^ORCID,Debbouche Amar³^ORCID

Affiliation:

1. Department of Mathematics , Jamia Millia Islamia , New Delhi 110025 , India

2. School of Basic Sciences , Indian Institute of Technology Mandi , Kamand , HP 175005 , India

3. Department of Mathematics , Guelma University , Guelma 24000 , Algeria

Abstract

Abstract This paper investigates numerical solution of generalized space-time fractional Klein–Gordon equations (GSTFKGE) by using Gegenbauer wavelet method (GWM). The developed method makes use of fractional order integral operator (FOIO) for Gegenbauer wavelet, which is constructed by employing the definition of Riemann–Liouville fractional integral (RLFI) operator and Laplace transformation. The present algorithm is based on Gegenbauer wavelet jointly with FOIO to convert a GSTFKGE into a system of equations which is solved by using Newton’s technique. Additionally, the upper bound of error norm of the proposed method is calculated to validate the theoretical authenticity of the developed method. The comparison of numerical outcomes with the existing results in the literature and graphical illustrations show the accuracy and reliability of our method.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2021-0304/pdf

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