B-spline collocation for solution of two-point boundary value problems (Q629490)
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scientific article; zbMATH DE number 5863137
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | B-spline collocation for solution of two-point boundary value problems |
scientific article; zbMATH DE number 5863137 |
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B-spline collocation for solution of two-point boundary value problems (English)
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9 March 2011
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The numerical solution based on B-spline collocation for boundary value problems for nonlinear differential equations up to sixth order is studied. By using the sextic B-spline collocation at the midpoints of a uniform mesh, a numerical method of order 6 is proposed. Then, an error analysis and the convergence of the method are investigated in detail. Several numerical examples, including numerical solutions for some stiff problems, are given for illustrating the efficiency of the B-spline collocation method.
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boundary value problem
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sextic B-spline
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collocation
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Green's function
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error analysis
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convergence
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numerical examples
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stiff problems
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0.9588026
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0.94334614
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