B-Spline collocation method for a two-parameter singularly perturbed convection-diffusion boundary value problems

Mohan K. Kadalbajoo; Arjun Singh Yadaw

doi:10.1016/j.amc.2007.12.038

B-Spline collocation method for a two-parameter singularly perturbed convection-diffusion boundary value problems

Mohan K. Kadalbajoo
, Arjun Singh Yadaw

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

65 Scopus citations

Abstract

In this paper, we have presented a B-spline collocation method for solving a class of two-parameter singularly perturbed boundary value problems. We use B-spline collocation method on piecewise-uniform Shishkin mesh, which leads to a tridiagonal linear system. The convergence analysis is given and the method is shown to have uniform convergence of second order. Numerical results are presented in the end which support the theoretical results.

Original language	English
Pages (from-to)	504-513
Number of pages	10
Journal	Applied Mathematics and Computation
Volume	201
Issue number	1-2
DOIs	https://doi.org/10.1016/j.amc.2007.12.038
State	Published - 15 Jul 2008
Externally published	Yes

Keywords

B-Spline collocation method
Convection-diffusion problems
Shishkin mesh
Singular perturbation

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10.1016/j.amc.2007.12.038

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title = "B-Spline collocation method for a two-parameter singularly perturbed convection-diffusion boundary value problems",

abstract = "In this paper, we have presented a B-spline collocation method for solving a class of two-parameter singularly perturbed boundary value problems. We use B-spline collocation method on piecewise-uniform Shishkin mesh, which leads to a tridiagonal linear system. The convergence analysis is given and the method is shown to have uniform convergence of second order. Numerical results are presented in the end which support the theoretical results.",

keywords = "B-Spline collocation method, Convection-diffusion problems, Shishkin mesh, Singular perturbation",

author = "Kadalbajoo, \{Mohan K.\} and Yadaw, \{Arjun Singh\}",

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T1 - B-Spline collocation method for a two-parameter singularly perturbed convection-diffusion boundary value problems

AU - Kadalbajoo, Mohan K.

AU - Yadaw, Arjun Singh

PY - 2008/7/15

Y1 - 2008/7/15

N2 - In this paper, we have presented a B-spline collocation method for solving a class of two-parameter singularly perturbed boundary value problems. We use B-spline collocation method on piecewise-uniform Shishkin mesh, which leads to a tridiagonal linear system. The convergence analysis is given and the method is shown to have uniform convergence of second order. Numerical results are presented in the end which support the theoretical results.

AB - In this paper, we have presented a B-spline collocation method for solving a class of two-parameter singularly perturbed boundary value problems. We use B-spline collocation method on piecewise-uniform Shishkin mesh, which leads to a tridiagonal linear system. The convergence analysis is given and the method is shown to have uniform convergence of second order. Numerical results are presented in the end which support the theoretical results.

KW - B-Spline collocation method

KW - Convection-diffusion problems

KW - Shishkin mesh

KW - Singular perturbation

UR - https://www.scopus.com/pages/publications/44649149579

U2 - 10.1016/j.amc.2007.12.038

DO - 10.1016/j.amc.2007.12.038

M3 - Article

AN - SCOPUS:44649149579

SN - 0096-3003

VL - 201

SP - 504

EP - 513

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 1-2

ER -

B-Spline collocation method for a two-parameter singularly perturbed convection-diffusion boundary value problems

Abstract

Keywords

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