Rapid convergence of the iterative technique for first order initial value problems (Q1126609)
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scientific article; zbMATH DE number 1183172
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rapid convergence of the iterative technique for first order initial value problems |
scientific article; zbMATH DE number 1183172 |
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Rapid convergence of the iterative technique for first order initial value problems (English)
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26 January 1999
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The authors approximate the solution of \(u'= f(t,u)\), \(u(0) =u_0\) by sequence of upper and lower solutions. When \(f\) is \(k\) times continuously differentiable they give a scheme for which the errors reduce as the \(k\)th power.
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convergence
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first-order initial value problems
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error bounds
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upper and lower solutions
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