Lucas polynomial solution of nonlinear differential equations with variable delays
| Autor: | Sevin Gümgüm, Ömür Kıvanç Kürkçü, Mehmet Sezer, Nurcan Baykuş Savaşaneril |
|---|---|
| Přispěvatelé: | Izmir University of Economics, Department of Mathematics, Izmir, 35330, Turkey, Izmir Vocational School, Dokuz Eylül University, Izmir, Turkey, Department of Mathematics, Manisa Celal Bayar University, Manisa, Turkey |
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Statistics and Probability
Polynomial Matematik Algebra and Number Theory Series (mathematics) 010102 general mathematics Nonlinear delay differential equations Variable delays Matrix and collocation methods Lucas polynomials and series 010103 numerical & computational mathematics 01 natural sciences Nonlinear differential equations Nonlinear system Algebraic equation Applied mathematics Geometry and Topology 0101 mathematics Analysis Mathematics Variable (mathematics) Matrix method |
| Zdroj: | Volume: 49, Issue: 2 553-564 Hacettepe Journal of Mathematics and Statistics |
| ISSN: | 2651-477X |
| Popis: | In this study, a novel matrix method based on Lucas series and collocation points has been used to solve nonlinear differential equations with variable delays. The application of the method converts the nonlinear equation to a matrix equation which corresponds to a system of nonlinear algebraic equations with unknown Lucas coefficients. The method is tested on three problems to show that it allows both analytical and approximate solutions. © 2020, Hacettepe University. All rights reserved. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|