A Taylor Collocation Method for the Solution of Linear Integro-Differential Equations

In this study, a matrix method called the Taylor collocation method is presented for numerically solving the linear integro-differential equations by a truncated Taylor series. Using the Taylor collocation points, this method transforms the integro-differential equation to a matrix equation which co...

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Bibliographic Details
Published in:International journal of computer mathematics 2002-01, Vol.79 (9), p.987-1000
Main Authors: Karamete, Aysen, Sezer, Mehmet
Format: Article
Language:English
Subjects:
Collocation Points
Differential, Integral And Integro-differential Equations
Exact sciences and technology
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical approximation
Sciences and techniques of general use
Taylor Polynomials And Series
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Summary:In this study, a matrix method called the Taylor collocation method is presented for numerically solving the linear integro-differential equations by a truncated Taylor series. Using the Taylor collocation points, this method transforms the integro-differential equation to a matrix equation which corresponds to a system of linear algebraic equations with unknown Taylor coefficients. Also the method can be used for linear differential and integral equations. To illustrate the method, it is applied to certain linear differential, integral, and integro-differential equations and the results are compared.
ISSN:0020-7160
1029-0265
DOI:10.1080/00207160212116