Numerical solution of eighth-order boundary value problems in reproducing Kernel space (Q1944743)
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scientific article; zbMATH DE number 6148995
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical solution of eighth-order boundary value problems in reproducing Kernel space |
scientific article; zbMATH DE number 6148995 |
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Numerical solution of eighth-order boundary value problems in reproducing Kernel space (English)
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27 March 2013
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The article is concerned with boundary value problems for eighth-order ordinary differential equations and their approximate solution. For this purpose, the usual nineth-order Sobolev Hilbert space is shown to possess a reproducing kernel, which is used to obtain a series representation for the solution in the linear case, and an iteration scheme in the semilinear case. Numerical experiments illustrate the approach.
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reproducing kernel
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eighth-order ordinary differential equation
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boundary value problem
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series representation
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Gram-Schmidt orthogonal process
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searching least value method
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numerical experiment
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