Preprint Article Version 1 This version is not peer-reviewed

DGJ Method for Linear and Nonlinear Third order Fractional Differential Equation

Version 1 : Received: 10 December 2018 / Approved: 11 December 2018 / Online: 11 December 2018 (14:01:03 CET)

How to cite: Modanli, M. DGJ Method for Linear and Nonlinear Third order Fractional Differential Equation. Preprints 2018, 2018120134 (doi: 10.20944/preprints201812.0134.v1). Modanli, M. DGJ Method for Linear and Nonlinear Third order Fractional Differential Equation. Preprints 2018, 2018120134 (doi: 10.20944/preprints201812.0134.v1).

Abstract

DGJ (Daftardar-Gejii-Jafaris) method is used to obtain numerical solution of the third order fractional differential equation. Providing the DGJ method converges, the approximate solution is a good and effective numerical result which is close to the exact solution or the exact solution. For this,the examples of the explaning the method are presented. The proposed method is implemented for the approximation solution of the third order nonlinear fractional partial differential equations. The method was shown to be unsuitable and inconsistent for an example of a nonlinear fractional partial differential equation depend on initial-boundary value conditions. The fact that these numerical results are not consistent can be explained by the fact that the method is not convergent.

Subject Areas

DGJ method, third order fractional differential equation, nonlinear differential equation, convergence of the method.

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