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A Taylor collocation method for the numerical solution of complex differential equations with mixed conditions in elliptic domains. (English) Zbl 1106.65061

Summary: An approximate method for solving higher-order linear complex differential equations in the elliptic domains is proposed. The approach is based on a Taylor collocation method, which consists of the matrix representation of expressions in the differential equation and the collocation points defined in the elliptic domain. Illustrative examples are included to demonstrate the validity and applicability of the technique, and performed on the computer using a program written in Maple9.

MSC:

65L05 Numerical methods for initial value problems involving ordinary differential equations
65L60 Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations
34M20 Nonanalytic aspects differential equations in the complex domain (MSC2000)
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