Improving performance when solving high-order and mixed-order boundary value problems in ODEs (Q1385144)
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scientific article; zbMATH DE number 1146027
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Improving performance when solving high-order and mixed-order boundary value problems in ODEs |
scientific article; zbMATH DE number 1146027 |
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Improving performance when solving high-order and mixed-order boundary value problems in ODEs (English)
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5 January 1999
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The paper is concerned with the numerical solution of boundary value problems for higher- (and mixed-) order ordinary differential equations (ODEs). After the transformation of the problem into a first-order system, Runge-Kutta and multiple shooting methods are applied, where the special structure of the original problem is exploited in the actual computation. Compared with ``usual'' schemes, this provides savings in computing time about 20-30\%, as demonstrated in several examples.
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performance
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high-order and mixed-order boundary value problems
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Runge-Kutta methods
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multiple shooting methods
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