Hybrid block formulae whose eigenvalues of Jacobian matrices are close to the imaginary axis of the complex plane
| Autor: | James kona, Kingsley Muka |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2024 |
| Předmět: | |
| Zdroj: | Recent Advances in Natural Sciences, Vol 2, Iss 2 (2024) |
| Druh dokumentu: | article |
| ISSN: | 1596-0544 1596-0757 |
| DOI: | 10.61298/rans.2024.2.2.74 |
| Popis: | Methods for integrating stiff initial value problems are required to be A-stable. Of great interest are A-stable methods whose Jacobian matrices have their eigenvalues close to the imaginary axis of the complex plane. This class of A-stable methods are very rare. This paper is on the development of a new family of A-stable hybrid block method whose Jacobian matrices possess eigenvalues on the imaginary of the complex plane via interpolation and collocation techniques. The family of methods developed herein are A-stable for order p ≤ 18. Numerical solutions generated by the new method are compared with existing methods in the literature. The numerical results show that the new class of methods are more efficient and accurate. |
| Databáze: | Directory of Open Access Journals |
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