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2014 | OriginalPaper | Chapter

The Maple Program Procedures at Solution Systems of Differential Equation with Taylor Collocation Method

Authors : S. Servi, Y. Keskin, G. Oturanç

Published in: Advances in Applied Mathematics

Publisher: Springer International Publishing

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Abstract

In this paper, a maple algorithm Taylor collocation method has been presented for numerically solving the systems of differential equation with variable coefficients under the mixed conditions. The solution is obtained in terms of Taylor polynomials. This method is based on taking the truncated Taylor series of the function in equations and then substituting their matrix forms in the given equation. Hence, the result of matrix equation can be solved and the unknown Taylor coefficients can be found approximately. The results obtained by Taylor collocation method will be compared with the results of differential transform method and Adomian decomposition method.

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previous chapter Convergence of Finite Element Approximations for Generalized Marguerre–von Kármán Equations
next chapter Numerical Study of Convective Heat and Mass Transfer Flow in Channels
Literature
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Metadata
Title
The Maple Program Procedures at Solution Systems of Differential Equation with Taylor Collocation Method
Authors
S. Servi
Y. Keskin
G. Oturanç
Copyright Year
2014
Book
Advances in Applied Mathematics

Print ISBN: 978-3-319-06922-7

Electronic ISBN: 978-3-319-06923-4

Copyright Year: 2014

DOI
https://doi.org/10.1007/978-3-319-06923-4_10

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