Numerical Solution of Second-Order Linear Delay Differential and Integro-Differential Equations by Using Taylor Collocation Method
| Autor: | Azzeddine Bellour, Mahmoud Bousselsal, Hafida Laib |
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| Rok vydání: | 2019 |
| Předmět: |
Work (thermodynamics)
Differential equation 010102 general mathematics Order (ring theory) 01 natural sciences 010101 applied mathematics Computational Mathematics symbols.namesake Collocation method Computer Science (miscellaneous) Taylor series symbols Applied mathematics 0101 mathematics Constant (mathematics) Differential (mathematics) Mathematics |
| Zdroj: | International Journal of Computational Methods. 17:1950070 |
| ISSN: | 1793-6969 0219-8762 |
| DOI: | 10.1142/s0219876219500701 |
| Popis: | The main purpose of this work is to provide a numerical approach for linear second-order differential and integro-differential equations with constant delay. An algorithm based on the use of Taylor polynomials is developed to construct a collocation solution [Formula: see text] for approximating the solution of second-order linear DDEs and DIDEs. It is shown that this algorithm is convergent. Some numerical examples are included to demonstrate the validity of this algorithm. |
| Databáze: | OpenAIRE |
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