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

Umar Habib, Salman Zeb, Kamal Shah, Sardar Muhammad Hussain and Ardashir Mohammadzadeh

Mathematical Problems in Engineering, 2022, vol. 2022, 1-8

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.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:1132557

DOI: 10.1155/2022/1132557

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