Commenced in January 2007
Frequency: Monthly
Edition: International
Paper Count: 2
Search results for: O. Acan
2 Reduced Differential Transform Methods for Solving the Fractional Diffusion Equations
Authors: Yildiray Keskin, Omer Acan, Murat Akkus
Abstract:
In this paper, the solution of fractional diffusion equations is presented by means of the reduced differential transform method. Fractional partial differential equations have special importance in engineering and sciences. Application of reduced differential transform method to this problem shows the rapid convergence of the sequence constructed by this method to the exact solution. The numerical results show that the approach is easy to implement and accurate when applied to fractional diffusion equations. The method introduces a promising tool for solving many fractional partial differential equations.Keywords: fractional diffusion equations, Caputo fractional derivative, reduced differential transform method, partial
Procedia PDF Downloads 4881 A Study on the Solutions of the 2-Dimensional and Forth-Order Partial Differential Equations
Abstract:
In this study, we will carry out a comparative study between the reduced differential transform method, the adomian decomposition method, the variational iteration method and the homotopy analysis method. These methods are used in many fields of engineering. This is been achieved by handling a kind of 2-Dimensional and forth-order partial differential equations called the Kuramoto–Sivashinsky equations. Three numerical examples have also been carried out to validate and demonstrate efficiency of the four methods. Furthermost, it is shown that the reduced differential transform method has advantage over other methods. This method is very effective and simple and could be applied for nonlinear problems which used in engineering.Keywords: reduced differential transform method, adomian decomposition method, variational iteration method, homotopy analysis method
Procedia PDF Downloads 402