[01848] A Higher Order Schwarz Domain Decomposition Method for Singularly Perturbed Differential Equation
Session Time & Room : 2D (Aug.22, 15:30-17:10) @E702
Type : Contributed Talk
Abstract : We consider a fourth order singularly perturbed differential equation. To solve the problem, the differential equation is transformed into a coupled system of singularly perturbed differential equations. The original domain is divided into three overlapping subdomains. On the regular subdomain, a hybrid scheme is used, while a compact fourth order difference scheme is used on the two boundary layer subdomains on a uniform mesh. We demonstrate that proposed scheme is nearly fourth order uniformly convergent.
