Uniformly convergent finite difference method for reaction-diffusion type third order singularly perturbed delay differential equation
Uniformly convergent finite difference method for reaction-diffusion type third order singularly perturbed delay differential equation
A class of third order reaction-diffusion type singularly perturbed ordinary delay differential equations is considered in this article. A fitted finite difference method on Shishkin mesh is suggested to solve the problem. Moreover, we present a class of nonlinear problems. An error estimation is obtained based on the maximum norm and it is of almost first order convergence. Numerical results are given to support theoretical claims.
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