Reduced Differential Transform Method for Solving Foam Drainage Equation(FDE)

2013/11/25 by Murat Gubes, Gubes, Murat
Engineering · Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Fractional Differential Equations Solutions #Hydraulic flow and structures #Nanofluid Flow and Heat Transfer #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.1311.6413

openalex publication_date 2013/11/25 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

Reduced Differental Transform Method (RDTM) which is one of the useful and effective numerical approximate method is applied to solve nonlinear time-dependent Foam Drainage Equation (FDE). Also, we compared the presented method with the famous Adomian Decomposition and Laplace Decomposition Technique. So, the results of giving examples demonstrated that RDTM is a powerful tool for solving nonlinear PDE, it can be applied very easily and it has less computational work than other existing methods like Adomian decomposition and Laplace decomposition.

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