Approximation of solutions of autonomous Noetherian boundary value problem using the least squares method (Q2906202)
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scientific article; zbMATH DE number 6077210
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximation of solutions of autonomous Noetherian boundary value problem using the least squares method |
scientific article; zbMATH DE number 6077210 |
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5 September 2012
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Noetherian boundary value problem
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least-squares method
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critical case
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generalized Fourier polynomial
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Approximation of solutions of autonomous Noetherian boundary value problem using the least squares method (English)
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By means of method of least squares, the authors construct a convergent iteration algorithm for finding solutions of autonomous weakly nonlinear boundary value problems for systems of ordinary differential equations with a small parameter. In particular, periodic boundary value problems are considered. As an example, approximations are given for a concrete periodic boundary value problem.
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