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

TL;DR

This paper introduces the Reduced Differential Transform Method (RDTM) as an effective and computationally efficient numerical approach for solving nonlinear foam drainage equations, demonstrating its advantages over traditional methods.

Contribution

The paper applies RDTM to solve nonlinear foam drainage equations and compares its performance with Adomian and Laplace decomposition techniques, highlighting its simplicity and efficiency.

Findings

RDTM effectively solves nonlinear PDEs in foam drainage.

RDTM requires less computational work than Adomian and Laplace methods.

Results show RDTM provides accurate solutions with ease of implementation.

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.