Uniformly Convergent Finite Difference Schemes for Singularly Perturbed Convection Diffusion Type Delay Differential Equations

Differential Equations and Dynamical Systems - Tập 29 - Trang 139-155 - 2019
V. Subburayan1, N. Ramanujam2,3
1Department of Mathematics, SRM Institute of Science and Tecnology, Kancheepuram, India
2Department of Mathematics, Bharathidasan University, Tiruchirappalli, India
3Srimad Andavan Arts and Science College, Tiruchirappalli, India

Tóm tắt

In this paper, uniformly convergent finite difference schemes with piecewise linear interpolation on Shishkin meshes are suggested to solve singularly perturbed boundary value problems for second order ordinary delay differential equations of convection-diffusion type. Error estimates are derived and are found to be of almost first order. Numerical results are provided to illustrate the theoretical results.

Tài liệu tham khảo

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