Fractional Reduced Differential Transform Method for Space-Time Fractional Order Heat-Like and Wave-Like Partial Differential Equations

2017 ◽  
Vol 6 (4) ◽  
pp. 598-607 ◽  
Author(s):  
Dianchen Lu ◽  
Jun Wang ◽  
Muhammad Arshad ◽  
Abdullah ◽  
Asghar Ali
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Fractional Order ◽  
Space Time ◽  
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.

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