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Lakestani, Mehrdad; Dehghan, Mehdi

The solution of a second-order nonlinear differential equation with Neumann boundary conditions using semi-orthogonal B-spline wavelets. (English) Zbl 1114.65090

Int. J. Comput. Math. 83, No. 8-9, 685-694 (2006).
Summary: A numerical technique for solving a second-order nonlinear Neumann problem is presented. The authors’ approach is based on semi-orthogonal B-spline wavelets. Two test problems are presented and numerical results are tabulated to show the efficiency of the proposed technique for the studied problem.

Cited in 17 Documents

MSC:

65L10 Numerical solution of boundary value problems involving ordinary differential equations
34B15 Nonlinear boundary value problems for ordinary differential equations
65T60 Numerical methods for wavelets

Keywords:

nonlinear Neumann problem; numerical results
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\textit{M. Lakestani} and \textit{M. Dehghan}, Int. J. Comput. Math. 83, No. 8--9, 685--694 (2006; Zbl 1114.65090)
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References:

[1] Chui C. K., An Introduction to Wavelets (1992) · Zbl 0925.42016
[2] DOI: 10.1109/8.623121 · Zbl 0945.78014
[3] Ayad A., Studia Universitatis Babeş-Bolyai – Series Mathematica 41 pp 1– (1996)
[4] DOI: 10.1109/8.387178 · Zbl 0944.65537
[5] Khan R. A., Electronic Journal of Differential Equations 3 pp 1– (2005)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.