Power Series Solution of Differential Equations

1986 ◽  
pp. 193-255
Author(s):  
K. A. Stroud
Keyword(s):  
Power Series ◽  
Differential Equations ◽  
Series Solution ◽  
Power Series Solution

scholarly journals Power Series Solution for Solving Nonlinear Burgers-Type Equations

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
E. López-Sandoval ◽  
A. Mello ◽  
J. J. Godina-Nava ◽  
A. R. Samana
Keyword(s):  
Power Series ◽  
Differential Equations ◽  
Series Solution ◽  
Solution Method ◽  
Nonlinear Partial Differential Equations ◽  
Time Dependent ◽  
Power Series Solution ◽  
Partial Linear ◽  
Linear Differential ◽  
Burgers Type Equations

Power series solution method has been traditionally used to solve ordinary and partial linear differential equations. However, despite their usefulness the application of this method has been limited to this particular kind of equations. In this work we use the method of power series to solve nonlinear partial differential equations. The method is applied to solve three versions of nonlinear time-dependent Burgers-type differential equations in order to demonstrate its scope and applicability.

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