International Journal of Numerical Methods and Applications

The International Journal of Numerical Methods and Applications publishes research articles on numerical methods and their applications in various fields, including differential equations, fluid dynamics, and bioinformatics. It also welcomes survey articles on new methods in numerical analysis.

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

Authors

  • Yanick Alain Servais WELLOT
  • Antoine FILANKEMBO OUASSISSOU

Keywords:

nonlinear PDEs, reduced differential transform method (RDTM), Picard’s principle, SBA method

DOI:

https://doi.org/10.17654/0975045225010

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.

Received: November 26, 2024
Revised: December 13, 2024
Accepted: December 23, 2024

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Published

2025-03-19

Issue

Section

Articles

How to Cite

COUPLING THE REDUCED DIFFERENTIAL TRANSFORMATION METHOD AND PICARD’S PRINCIPLE FOR SOLVING NONLINEAR EQUATIONS. (2025). International Journal of Numerical Methods and Applications, 25(2), 231-250. https://doi.org/10.17654/0975045225010

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