Seventh order hybrid block method for solution of first order stiff systems of initial value problems
| Autor: | S. A. Okunuga, R. I. Abdulganiy, O. A. Akinfenwa, B.I. Akinnukawe |
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| Rok vydání: | 2020 |
| Předmět: |
Backward differentiation formula
Collocation lcsh:Mathematics Stiff systems Stability analysis 010103 numerical & computational mathematics lcsh:QA1-939 01 natural sciences Stiff equation 010101 applied mathematics Convergence (routing) Initial value problem Applied mathematics 0101 mathematics Hybrid block method Mathematics Second derivative Block (data storage) Interpolation |
| Zdroj: | Journal of the Egyptian Mathematical Society, Vol 28, Iss 1, Pp 1-11 (2020) |
| ISSN: | 2090-9128 |
| DOI: | 10.1186/s42787-020-00095-3 |
| Popis: | A hybrid second derivative three-step method of order 7 is proposed for solving first order stiff differential equations. The complementary and main methods are generated from a single continuous scheme through interpolation and collocation procedures. The continuous scheme makes it easy to interpolate at off-grid and grid points. The consistency, stability, and convergence properties of the block formula are presented. The hybrid second derivative block backward differentiation formula is concurrently applied to the first order stiff systems to generate the numerical solution that do not coincide in time over a given interval. The numerical results show that the new method compares favorably with some known methods in the literature. |
| Databáze: | OpenAIRE |
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