Analytical solutions of nonlinear Klein-Gordon equations using Multistep Modified Reduced Differential Transform Method-Reference-Cited by-同舟云学术

Analytical solutions of nonlinear Klein-Gordon equations using Multistep Modified Reduced Differential Transform Method

Published:2019 Issue:Suppl. 1 Volume:23 Page:317-326
ISSN:0354-9836
Container-title:Thermal Science
language:en
Short-container-title:THERM SCI

Author:

Che Hussin¹,Ismail Ahmad²,Kilicman Adem³,Azmi Amirah²

Affiliation:

1. Universiti Sains Malaysia, School of Mathematical Sciences, USM, Gelugor, Penang, Malaysia + Preparatory Centre of Science and Technology, Universiti Malaysia Sabah, Jalan UMS, Kota Kinabalu, Sabah, Malaysia

2. Universiti Sains Malaysia, School of Mathematical Sciences, USM, Gelugor, Penang, Malaysia

3. Universiti Putra Malaysia, Institute for Mathematical Research, Serdang Selangor, Malaysia

Abstract

This paper explores the approximate analytical solution of non-linear Klein-Gordon equations (NKGE) by using multistep modified reduced differential transform method (MMRDTM). Through this proposed strategy, the non-linear term is substituted by associating Adomian polynomials obtained by utilization of a multistep approach. The NKGE solutions can be obtained with a reduced number of computed terms. In addition, the approximate solutions converge rapidly in a wide time region. Three examples are provided to illustrate the effectiveness of the proposed method to obtain solutions for the NKGE. Graphical results are shown to represent the behavior of the solution so as to demonstrate the validity and accuracy of the MMRDTM.

Publisher

National Library of Serbia

Subject

Renewable Energy, Sustainability and the Environment

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