B-spline method for solving linear system of second-order boundary value problems

Authors:
Nazan Caglar;Hikmet Caglar
Affiliations:
Istanbul Kultur University Faculty of Economic and Administrative Science, 34156 Atakoy-Istanbul, Turkey;Istanbul Kultur University Department of Mathematics-Computer, Istanbul, Turkey
Venue:
Computers & Mathematics with Applications
Year:
2009

Citing 3
Cited 1

On a two-point boundary value problem for the second order ordinary differential equations with singularities

Nonlinear Analysis: Theory, Methods & Applications
Variational iteration method for solving a nonlinear system of second-order boundary value problems

Computers & Mathematics with Applications
Existence results for n-point boundary value problem of second order ordinary differential equations

Journal of Computational and Applied Mathematics

Homotopy perturbation-reproducing kernel method for nonlinear systems of second order boundary value problems

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Abstract

The B-spline method is used for the numerical solution of a linear system of second-order boundary value problems. Two examples are considered for the numerical illustration and the method is also compared with the method proposed by J. Lu [J. Lu, Variational iteration method for solving a nonlinear system of second-order boundary value problems, Comput. Math. Appl. 54 (2007) 1133-1138]. The comparison shows that the B-spline method is a more efficient and effective tool and yields better results.