Header menu link for other important links
A fourth-order numerical scheme for singularly perturbed delay parabolic problem arising in population dynamics
L. Govindarao, J. Mohapatra,
Published in Springer
Volume: 63
Issue: 1-2
Pages: 171 - 195
This article presents a higher-order parameter uniformly convergent method for a singularly perturbed delay parabolic reaction–diffusion initial-boundary-value problem. For the discretization of the time derivative, we use the implicit Euler scheme on the uniform mesh and for the spatial discretization, we use the central difference scheme on the Shishkin mesh, which provides a second-order convergence rate. To enhance the order of convergence, we apply the Richardson extrapolation technique. We prove that the proposed method converges uniformly with respect to the perturbation parameter and also attains almost fourth-order convergence rate. Finally, to support the theoretical results, we present some numerical experiments by using the proposed method. © 2020, Korean Society for Informatics and Computational Applied Mathematics.
About the journal
JournalData powered by TypesetJournal of Applied Mathematics and Computing
PublisherData powered by TypesetSpringer