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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:
65L05Initial value problems for ODE (numerical methods)
65L60Finite elements, Rayleigh-Ritz, Galerkin and collocation methods for ODE
34M20Nonanalytic aspects differential equations in the complex domain (MSC2000)
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References:
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