scholarly journals A Green's Function Numerical Method for Solving Parabolic Partial Differential Equations

2016 ◽  
Vol 9 ◽  
Author(s):  
Luke Edwards
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Green’S Function ◽  
Numerical Method ◽  
Green's Function ◽  
Parabolic Partial Differential Equations ◽  
Partial Differential

scholarly journals Numerical method for singularly perturbed delay parabolic partial differential equations

2017 ◽  
Vol 21 (4) ◽  
pp. 1595-1599 ◽  
Author(s):  
Yulan Wang ◽  
Dan Tian ◽  
Zhiyuan Li
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Numerical Method ◽  
Present Method ◽  
Singularly Perturbed ◽  
Parabolic Partial Differential Equations ◽  
Partial Differential ◽  
Numerical Examples ◽  
Barycentric Interpolation ◽  
Delay Partial Differential Equations

The barycentric interpolation collocation method is discussed in this paper, which is not valid for singularly perturbed delay partial differential equations. A modified version is proposed to overcome this disadvantage. Two numerical examples are provided to show the effectiveness of the present method.

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