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Murat Gubes

Publications and source records attributed to Murat Gubes.

5 recordsLinked to original sources
arXiv2015

Approximate Solutions of Coupled Ramani Equation by using RDTM with compared DTM and exact solutions

In this paper, we present the new approximate solutions of famous coupled Ramani Equation. In order to obtain the solution, we use the semi-analytic methods differential transform method (DTM) and reduced form of DTM called reduced differential transform method (RDTM). We compare our proposed methods with exact solution and also compare with together. Numerical results show clearly that DTM and RDTM are very effective and also provide very accurate solutions. Additionally, it should be noted that RDTM is applied very easily, fast and more convergent than DTM for these kind of problems.

math.NA↗
arXiv2013

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

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.

math.NA↗
arXiv2013

Numerical Solution of Nonlinear Wave-Like Equations by Reduced Differential Transform Method

This paper is presented to give numerical solutions of some cases of nonlinear wave-like equations with variable coefficients by using Reduced Differential Transform Method (RDTM). RDTM can be applied most of the physical, engineering, biological and etc. models as an alternative to obtain reliable and fastest converge, efficient approximations. Hence, our obtained results showed that RDTM is a very simple method and has a quite accuracy.

math.NA↗
arXiv2013

Application of Differential Transform Method for El Nino Southern Oscillation (ENSO) Model with compared Adomian Decomposition and Variational Iteration Methods

We consider two nonlinear El Nino Southern Oscillation (ENSO) model to obtain approximate solutions with differential transform method for the first time. Efficiency, accuracy and error rates of solutions are compared with analytic solution, variational iteration and adomian decomposition solutions on the given tables and figures.

math.NA↗