Numerical solution of high-order linear Volterra integro-differential equations by using Taylor collocation method
| Autor: | Azzeddine Bellour, Mahmoud Bousselsal, Hafida Laib |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
Work (thermodynamics)
Differential equation Applied Mathematics Numerical analysis 010103 numerical & computational mathematics 01 natural sciences Computer Science Applications 010101 applied mathematics symbols.namesake Computational Theory and Mathematics Collocation method Taylor series symbols Applied mathematics 0101 mathematics High order Mathematics |
| Zdroj: | International Journal of Computer Mathematics. 96:1066-1085 |
| ISSN: | 1029-0265 0020-7160 |
| DOI: | 10.1080/00207160.2018.1484112 |
| Popis: | The main purpose of this work is to provide a new direct numerical method for high-order linear Volterra integro-differential equations (VIDEs). An algorithm based on the use of Taylor polynomials is developed for the numerical solution of high-order linear VIDEs. It is shown that this algorithm is convergent. Numerical results are presented and comparisons are made with well-known numerical methods to prove the effectiveness of the presented algorithm. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|