scholarly journals Numerical method for a boundary value problem for a linear singularly perturbed parabolic delay differential equation of reaction-diffusion type with discontinuous source term

2021 ◽  
Vol 1850 (1) ◽  
pp. 012063
Author(s):  
Parthiban Saminathan ◽  
Franklin Victor
Keyword(s):  
Differential Equation ◽  
Boundary Value Problem ◽  
Numerical Method ◽  
Delay Differential Equation ◽  
Source Term ◽  
Reaction Diffusion ◽  
Singularly Perturbed ◽  
Diffusion Type ◽  
Discontinuous Source Term ◽  
Delay Differential

scholarly journals NUMERICAL SOLUTION OF A BOUNDARY VALUE PROBLEM INCLUDING BOTH DELAY AND BOUNDARY LAYER

2018 ◽  
Vol 23 (4) ◽  
pp. 568-581 ◽  
Author(s):  
Erkan Cimen
Keyword(s):  
Differential Equation ◽  
Boundary Layer ◽  
Boundary Value Problem ◽  
Delay Differential Equation ◽  
Order Parameter ◽  
Boundary Value ◽  
Singularly Perturbed ◽  
Uniform Mesh ◽  
First Order ◽  
Delay Differential

Difference method on a piecewise uniform mesh of Shishkin type, for a singularly perturbed boundary-value problem for a nonlinear second order delay differential equation is analyzed. Also, the method is proved that it gives essentially first order parameter-uniform convergence in the discrete maximum norm. Furthermore, numerical results are presented in support of the theory.

Sign in / Sign up

Export Citation Format

Share Document