Parametric cubic spline solution of two point boundary value problems (Q1827361)
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scientific article; zbMATH DE number 2083383
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Parametric cubic spline solution of two point boundary value problems |
scientific article; zbMATH DE number 2083383 |
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Parametric cubic spline solution of two point boundary value problems (English)
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6 August 2004
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This paper deals with a smooth approximate solution of the two-point boundary value problem \(y''=f(x)y+g(x)\), \(y(a)=\alpha_0\), \(y(b)=\alpha_1\) using parametric cubic spline function. A uniformly convergent uniform mesh difference scheme is derived. Two numerical examples illustrating the comparative performance of this method with some earlier numerical methods are presented.
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Parametric cubic spline function
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Finite difference method
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Numerov's method
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convergence
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two-point boundary value problem
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numerical examples
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