COUPLING THE REDUCED DIFFERENTIAL TRANSFORMATION METHOD AND PICARD’S PRINCIPLE FOR SOLVING NONLINEAR EQUATIONS

The aim of this work is to verify the efficiency of an algorithm for determining the exact solutions of nonlinear partial differential equations. This algorithm is based on the combination or coupling of the reduced differential transform method and Picard’s principle. The algorithm resulting from this coupling of methods favors rapid convergence of the problem to the exact solution.

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Publication Details

Journal
International Journal of Numerical Methods and Applications
Published
2025-03-19
DOI
https://doi.org/10.17654/0975045225010
Primary Topic
Iterative Methods for Nonlinear Equations
Type
article
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0.00
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article

COUPLING THE REDUCED DIFFERENTIAL TRANSFORMATION METHOD AND PICARD’S PRINCIPLE FOR SOLVING NONLINEAR EQUATIONS

Antoine Filankembo Ouassissou, Yanick Alain Servais WELLOT
International Journal of Numerical Methods and Applications
Iterative Methods for Nonlinear Equations
article

COUPLING THE REDUCED DIFFERENTIAL TRANSFORMATION METHOD AND PICARD’S PRINCIPLE FOR SOLVING NONLINEAR EQUATIONS

Antoine Filankembo Ouassissou, Yanick Alain Servais WELLOT
article en

Abstract

The aim of this work is to verify the efficiency of an algorithm for determining the exact solutions of nonlinear partial differential equations. This algorithm is based on the combination or coupling of the reduced differential transform method and Picard’s principle. The algorithm resulting from this coupling of methods favors rapid convergence of the problem to the exact solution.

International Journal of Numerical Methods and ApplicationsVol. 25(2)
Openalex Percentile: Top 92%
Iterative Methods for Nonlinear Equations
DOIOpen Access PDFOpenAlex
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COUPLING THE REDUCED DIFFERENTIAL TRANSFORMATION METHOD AND PICARD’S PRINCIPLE FOR SOLVING NONLINEAR EQUATIONS — Antoine Filankembo Ouassissou, Yanick Alain Servais WELLOT · International Journal of Numerical Methods and Applications (2025) | TGRS Research Map | TGRS