KdV Equation Solution by Double Laplace Adomian Decomposition Method and Its Convergence Analysis-Reference-Cited by-同舟云学术

KdV Equation Solution by Double Laplace Adomian Decomposition Method and Its Convergence Analysis

Published:2022-09-12 Issue: Volume:2022 Page:1-8
ISSN:1563-5147
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Habib Umar¹,Zeb Salman¹^ORCID,Shah Kamal¹²^ORCID,Hussain Sardar Muhammad³

Affiliation:

1. Department of Mathematics, University of Malakand Dir (Lower), Chakdara 18800, Pakistan

2. Department of Mathematics and Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia

3. Department of Mathematical Sciences, Balochistan University of Information Technology, Engineering and Management Sciences (BUITEMS), Quetta 87300, Pakistan

Abstract

In this paper, the double Laplace Adomian decomposition method (DLADM) is utilized for the solution of the nonlinear Korteweg–de Vries (KdV) equation. The convergence analysis of the suggested approach has been carried out and some examples of the KdV equation are solved for demonstrating the proposed approach. We also compared the obtained series solutions with existing method solutions which show close agreement with each other.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2022/1132557.pdf

Reference34 articles.

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