An overlapping Schwarz method for singularly perturbed fourth-order convection-diffusion type

• Published in: Mathematical modelling and analysis Vol. 25; no. 4; pp. 661 - 679
• Main Authors: Roja, J. Christy, Tamilselvan, Ayyadurai
• Format: Journal Article
• Language: English
• Published: Vilnius Vilnius Gediminas Technical University 13.10.2020
• Subjects: Applied mathematics; Approximation; Boundary conditions; Boundary layers; Convection; convection-diffusion equations; Convergence; Decomposition; Equations (Mathematics); Exact solutions; Fluid dynamics; hybrid difference scheme; Iteration (Mathematics); Iterative methods; Mathematical research; Methods; Numerical analysis; Numerical methods; Perturbation theory; Schwarz method; Singular perturbation methods; singularly perturbed problems; India; convection-diffusion equations; singularly perturbed problems; Schwarz method; hybrid difference scheme

In this paper, we have constructed an iterative numerical method based on an overlapping Schwarz procedure with uniform mesh for singularly perturbed fourth-order of convection-diffusion type. The method splits the original domain into two overlapping subdomains. A hybrid difference scheme is proposed...