An iterated, multipoint differential transform method for numerically evolving partial differential equation initial-value problems

2012 ◽  
Vol 5 (1) ◽  
pp. 014001 ◽  
Author(s):  
Hal Finkel
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Initial Value Problems ◽  
Differential Transform Method ◽  
Initial Value ◽  
Partial Differential ◽  
Transform Method ◽  
Differential Transform

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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