Collocation-continuation technique for solving nonlinear ordinary boundary value problems (Q1963038)
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scientific article; zbMATH DE number 1391569
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Collocation-continuation technique for solving nonlinear ordinary boundary value problems |
scientific article; zbMATH DE number 1391569 |
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Collocation-continuation technique for solving nonlinear ordinary boundary value problems (English)
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20 January 2000
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The authors report a method, an algorithm and illustrate numerical examples to solve a Dirichlet boundary value problem for a particular second-order nonlinear ordinary differential equation. The discretization of the problem is done by the Legendre collocation method resulting in a system of nonlinear algebraic equations. The latter is then solved by a continuation method, which does not require an initial approximation.
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two-point Dirichlet boundary value problems
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second-order nonlinear ordinary differential equations
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algorithm
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numerical examples
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Legendre collocation method
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continuation method
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