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.

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

Received: November 26, 2024; Revised: December 13, 2024; Accepted: December 23, 2024; Published: March 19, 2025

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