A unified approach for solving linear and nonlinear odd-order two-point boundary value problems (Q1988591)
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scientific article; zbMATH DE number 7192876
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A unified approach for solving linear and nonlinear odd-order two-point boundary value problems |
scientific article; zbMATH DE number 7192876 |
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A unified approach for solving linear and nonlinear odd-order two-point boundary value problems (English)
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23 April 2020
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In this article new spectral solutions for odd-order two-point boundary value problems are obtained. A numerical algorithm based on collocation methods is implemented and analyzed. A new matrix of derivatives for a certain Legendre basis polynomials is derived. The proposed algorithm has the advantage to be applicable to both linear and nonlinear odd-order two-point boundary value problems. The convergence and error analysis are investigated. Five illustrative examples supported with comparisons are displayed to ensure the efficiency and applicability of the proposed algorithm.
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boundary value problems
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collocation method
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convergence analysis
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Legendre polynomials
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