DOUBLE ELZAKI TRANSFORM AND ADOMIAN POLYNOMIALS FOR SOLVING SOME PDEs

In this research, we provide novel methods for analyzing some models of PDEs that occur in a wide range of scientific and engineering applications. Adomian polynomials have been utilized for this purpose. The simplicity and accuracy of the suggested Integrated technique are confirmed by combining the Adomian decomposition method with the conventional Double Elzaki transform. An experimental study has been conducted. To illustrate the efficiency of the proposed scheme, the Rangaig transform-based Homotopy analysis method is used for the comparison study of the solutions.

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Publication Details

Journal
JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES
Published
2025-08-29
DOI
https://doi.org/10.26782/jmcms.spl.12/2025.08.00001
Primary Topic
Algebraic and Geometric Analysis
Type
article
Field-Weighted Citation Impact
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article

DOUBLE ELZAKI TRANSFORM AND ADOMIAN POLYNOMIALS FOR SOLVING SOME PDEs

Parvinder Kaur, Inderdeep Singh
JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCES
Algebraic and Geometric Analysis
article

DOUBLE ELZAKI TRANSFORM AND ADOMIAN POLYNOMIALS FOR SOLVING SOME PDEs

Parvinder Kaur, Inderdeep Singh
article en

Abstract

In this research, we provide novel methods for analyzing some models of PDEs that occur in a wide range of scientific and engineering applications. Adomian polynomials have been utilized for this purpose. The simplicity and accuracy of the suggested Integrated technique are confirmed by combining the Adomian decomposition method with the conventional Double Elzaki transform. An experimental study has been conducted. To illustrate the efficiency of the proposed scheme, the Rangaig transform-based Homotopy analysis method is used for the comparison study of the solutions.

JOURNAL OF MECHANICS OF CONTINUA AND MATHEMATICAL SCIENCESVol. spl12(01)
Openalex Percentile: Top 66%
Algebraic and Geometric Analysis
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