Reduced Differential Transform Method for Partial Differential Equations

2009 ◽  
Vol 10 (6) ◽  
Author(s):  
Yildiray Keskin ◽  
Galip Oturanç
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Differential Transform Method ◽  
Partial Differential ◽  
Transform Method ◽  
Differential Transform ◽  
Reduced Differential Transform Method

scholarly journals A Numerical Computation of a System of Linear and Nonlinear Time Dependent Partial Differential Equations Using Reduced Differential Transform Method

2016 ◽  
Vol 2016 ◽  
pp. 1-8 ◽  
Author(s):  
Brajesh Kumar Singh ◽  
Mahendra
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Differential Transform Method ◽  
Time Dependent ◽  
Test Problems ◽  
Partial Differential ◽  
Transform Method ◽  
Differential Transform ◽  
Linear And Nonlinear ◽  
Reduced Differential Transform Method

This paper deals with an analytical solution of an initial value system of time dependent linear and nonlinear partial differential equations by implementing reduced differential transform (RDT) method. The effectiveness and the convergence of RDT method are tested by means of five test problems, which indicates the validity and great potential of the reduced differential transform method for solving system of partial differential equations.

scholarly journals A fuzzy solution of nonlinear partial differential equations

2021 ◽  
Vol 5 (1) ◽  
pp. 51-63
Author(s):  
Mawia Osman ◽  
◽  
Zengtai Gong ◽  
Altyeb Mohammed Mustafa ◽  
◽  
...  
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Infinite Series ◽  
Nonlinear Partial Differential Equations ◽  
Differential Transform Method ◽  
Series Expansions ◽  
Partial Differential ◽  
Transform Method ◽  
Differential Transform ◽  
Fuzzy Solution

In this paper, the reduced differential transform method (RDTM) is applied to solve fuzzy nonlinear partial differential equations (PDEs). The solutions are considered as infinite series expansions which converge rapidly to the solutions. Some examples are solved to illustrate the proposed method.

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