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Open Access ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

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Open Access Research Article

Recent modification of decomposition method for solving wave-like equation

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pp. 809–820Vol. 26Issue 5August 2023DOI: 10.47974/JIM-1235XML
Received:
15 Oct 2020
Published Online:
08 Sep 2023
Article type:
Research Article
Language:
EN
Article no.:
JIM-1235
Pages:
809–820

Abstract

In this article exact solution for nonlinear wave-like equations with variable coefficients will be obtain by using reliable manner depend on combined Laplace transform with decomposition technique and the results has shown a high-precision, smooth and the series solution is converge rapidly to exact analytic solution compared with other classic approaches. Suggested approach not needs any discretization by data of domain or presents assumption or neglect for a perturbation parameter in problems and not need to use any assumption to convert the non-linear terms into linear. Two examples of strongly nonlinear 2-dimensional space high order have been presented to show the convergence of solution obtained by suggested method to the exact.

Keywords

Subject Classifications

[2010] 35A0835A1835A2535A99

References

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