Numerical Solution of a Class of Complex Differential Equations by the Taylor Collocation Method in Elliptic Domains

Abstract

An approximate method for solving higher-order linear complex differential equations in elliptic domains is proposed. The approach is based on a Taylor collocation method, which consists of the matrix represantation of expressions in the differential equation and the collocation points defined in an elliptic domain. Illustrative examples are included to demonstrate the validity and applicability of the technique. (C) 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 26: 1191-1205, 2010