Novel Solution for Time-fractional Klein-Gordon Equation with Different Applications-Reference-Cited by-同舟云学术

Novel Solution for Time-fractional Klein-Gordon Equation with Different Applications

Published:2023-06-01 Issue:3 Volume:8 Page:537-546
ISSN:2455-7749
Container-title:International Journal of Mathematical, Engineering and Management Sciences
language:en
Short-container-title:Int. j. math. eng. manag. sci.

Author:

Kashyap Manju¹,Singh S. Pratap²,Gupta Surbhi³,Mehta Purnima Lala⁴

Affiliation:

1. Department of Applied Sciences, Galgotias College of Engineering and Technology, Greater Noida, U.P., India.

2. Department of Electronics and Communication Engineering, Galgotias College of Engineering and Technology, Greater Noida, U.P., India.

3. Department of Applied Sciences, Amity University, Noida, U.P., India.

4. Samsung R & D Institute, Bangalore, Karnataka, India.

Abstract

In this paper, for the first time, the Laplace Homotopy Perturbation Method (LHPM), which is the coupling of the Laplace transform and the Homotopy Perturbation Method, is employed to solve non-linear time-fractional Klein-Gordon (TFKG) equations. In other words, for the first time in literature, LHPM is used to solve non-linear TFKG equations. First of all, the procedure of LHPM on TFKG with Caputo fractional derivative is developed. Further, the developed approach of LHPM on TFKG is used for two different examples. This in turn proves the versatile nature of the proposed method. In addition, the validity of the approach is proved by comparing the numerical solutions of both examples with their exact solution. Finally, the comparison of relative errors calculated in each example proves the efficiency and effectiveness of the proposed method on TFKG equations.

Publisher

Ram Arti Publishers

Subject

General Engineering,General Business, Management and Accounting,General Mathematics,General Computer Science

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