Numerical solution of time-dependent foam drainage equation (FDE)

Document Type : Research Paper

Authors

1 Karamanoglu Mehmetbey University, Department of Mathematics,Yunus Emre Campus, 70100, Karaman / Turkey

2 Selcuk University, Department of Mathematics, Alaaddin Keykubat Campus, 42030, Konya / Turkey

Abstract

Reduced Differental Transform Method (RDTM), which is one of the useful and effective numerical method, is applied to solve nonlinear time-dependent Foam Drainage Equation (FDE) with different initial conditions. We compare our method with the famous Adomian Decomposition and Laplace Decomposition Methods. The obtained results demonstrated that RDTM is a powerful tool for solving nonlinear partial differential equations (PDEs), it can be applied very easily and it has less computational work than other existing methods like Adomian decomposition and Laplace decomposition. Additionally, effectiveness and precision of RDTM solutions are shown in tables and graphically.

Keywords

Computational Methods for Differential Equations
Volume 3, Issue 2 - Serial Number 2
April 2015
Pages 111-122

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History

  • Receive Date: 08 June 2015
  • Revise Date: 22 March 2016
  • Accept Date: 02 April 2016

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