Comparative Study on Numerical Methods for Singularly Perturbed Advanced-Delay Differential Equations

Autor: P. Hammachukiattikul, E. Sekar, A. Tamilselvan, R. Vadivel, N. Gunasekaran, Praveen Agarwal
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Journal of Mathematics, Vol 2021 (2021)
Druh dokumentu: article
ISSN: 2314-4629
2314-4785
DOI: 10.1155/2021/6636607
Popis: In this paper, we consider a class of singularly perturbed advanced-delay differential equations of convection-diffusion type. We use finite and hybrid difference schemes to solve the problem on piecewise Shishkin mesh. We have established almost first- and second-order convergence with respect to finite difference and hybrid difference methods. An error estimate is derived with the discrete norm. In the end, numerical examples are given to show the advantages of the proposed results (Mathematics Subject Classification: 65L11, 65L12, and 65L20).
Databáze: Directory of Open Access Journals
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