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

نویسندگان
Gubes, Murat ID 1
Keskin, Yildiray ID 2
Oturanc, Galip ID 3

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

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

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چکیده

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.

کلیدواژه‌ها
Foam Drainage Equation, Laplace Decomposition Method, Adomian Decomposition Method, Reduced Differential Transform Method