Memoirs on Differential Equations and Mathematical Physics, vol.86, pp.69-84, 2022 (ESCI)
Article / Article
Memoirs on Differential Equations and Mathematical Physics
Emerging Sources Citation Index (ESCI), Scopus, zbMATH
Bakhvalov mesh, Boundary value problem, Convection-diffusion equation, Difference scheme, Error estimate, Shishkin mesh, Singular perturbation
Van Yüzüncü Yıl University Affiliated:
© 2022, A. Razmadze Mathematical Institute of Iv. Javakhishvili Tbilisi State University. All rights reserved.In this paper, a discrete scheme is presented for solving singularly perturbed convection-diffusion equations. The stability and convergence of the proposed scheme are analyzed in the discrete maximum norm. Error estimates are carried out for both Bakhvalov (B-mesh) and Shishkin-type (S-mesh) meshes. Three numerical examples are solved to authenticate the theoretical findings.