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A collocation method to solve higher order linear complex differential equations in rectangular domains

✍ Scribed by Mehmet Sezer; Salih Yalçinbaş

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
143 KB
Volume
26
Category
Article
ISSN
0749-159X

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✦ Synopsis

Abstract

In this article, a collocation method is developed to find an approximate solution of higher order linear complex differential equations with variable coefficients in rectangular domains. This method is essentially based on the matrix representations of the truncated Taylor series of the expressions in equation and their derivates, which consist of collocation points defined in the given domain. Some numerical examples with initial and boundary conditions are given to show the properties of the method. All results were computed using a program written in scientific WorkPlace v5.5 and Maple v12. © 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq, 2010

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