Differential quadrature method (DQM) for a class of singular two-point boundary value problems

Uǧur Yücel; Murat Sar

doi:10.1080/00207160701600168

Differential quadrature method (DQM) for a class of singular two-point boundary value problems

Uǧur Yücel^*
, Murat Sar

^*Corresponding author for this work

Pamukkale University

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

Differential quadrature method is applied in this work to solve singular two-point boundary value problems with a linear or non-linear nature. It is demonstrated through numerical examples that accurate results for the problem with different types of boundary conditions can be obtained using a considerably small number of grid points. The relative, root mean square and maximum absolute errors in computed solutions are given to show the performance of the method.

Original language	English
Pages (from-to)	465-475
Number of pages	11
Journal	International Journal of Computer Mathematics
Volume	86
Issue number	3
DOIs	https://doi.org/10.1080/00207160701600168
Publication status	Published - Mar 2009
Externally published	Yes

Keywords

Differential quadrature method
RMS error
Singular boundary value problem

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10.1080/00207160701600168

Cite this

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abstract = "Differential quadrature method is applied in this work to solve singular two-point boundary value problems with a linear or non-linear nature. It is demonstrated through numerical examples that accurate results for the problem with different types of boundary conditions can be obtained using a considerably small number of grid points. The relative, root mean square and maximum absolute errors in computed solutions are given to show the performance of the method.",

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AU - Yücel, Uǧur

AU - Sar, Murat

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N2 - Differential quadrature method is applied in this work to solve singular two-point boundary value problems with a linear or non-linear nature. It is demonstrated through numerical examples that accurate results for the problem with different types of boundary conditions can be obtained using a considerably small number of grid points. The relative, root mean square and maximum absolute errors in computed solutions are given to show the performance of the method.

AB - Differential quadrature method is applied in this work to solve singular two-point boundary value problems with a linear or non-linear nature. It is demonstrated through numerical examples that accurate results for the problem with different types of boundary conditions can be obtained using a considerably small number of grid points. The relative, root mean square and maximum absolute errors in computed solutions are given to show the performance of the method.

KW - Differential quadrature method

KW - RMS error

KW - Singular boundary value problem

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DO - 10.1080/00207160701600168

M3 - Article

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ER -

Differential quadrature method (DQM) for a class of singular two-point boundary value problems

Abstract

Keywords

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