The compact eighth-order of approximation difference schemes for fourth-order differential equation
| dc.contributor.author | Ashyralyev, A. | |
| dc.contributor.author | Ibrahim, I.M. | |
| dc.date.accessioned | 2025-01-22T11:30:31Z | |
| dc.date.available | 2025-01-22T11:30:31Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | Local and nonlocal boundary value problems (LNBVPs) related to fourth-order differential equations (FODEs) were explored. To tackle these problems numerically, we introduce novel compact four-step difference schemes (DSs) that achieve eighth-order of approximation. These DSs are derived from a novel Taylor series expansion involving five points. The theoretical foundations of these DSs are validated through extensive numerical experiments, demonstrating their effectiveness and precision. | ru_RU |
| dc.identifier.citation | Ashyralyev A., Ibrahim I.M. The compact eighth-order of approximation difference schemes for fourth-order differential equation/ A. Ashyralyev, I.M. Ibrahim//Bulletin of the Karaganda University. “Mathematics” Series. — 2024. — Vol. 29 - Iss. 4(116). — 19-31pp. | ru_RU |
| dc.identifier.issn | 2518-7929 | |
| dc.identifier.uri | https://rep.buketov.edu.kz//handle/data/19530 | |
| dc.language.iso | other | ru_RU |
| dc.publisher | Karagandy University of the name of acad. E.A. Buketov | ru_RU |
| dc.relation.ispartofseries | “Mathematics” Series;4(116) | |
| dc.subject | Taylor’s decomposition on five points (TDFP) | ru_RU |
| dc.subject | LNBVPs | ru_RU |
| dc.subject | DSs | ru_RU |
| dc.subject | approximation | ru_RU |
| dc.subject | numerical experiment | ru_RU |
| dc.title | The compact eighth-order of approximation difference schemes for fourth-order differential equation | ru_RU |
| dc.title.alternative | Local and nonlocal boundary value problems (LNBVPs) related to fourth-order differential equations (FODEs) were explored. To tackle these problems numerically, we introduce novel compact four-step difference schemes (DSs) that achieve eighth-order of approximation. These DSs are derived from a novel Taylor series expansion involving five points. The theoretical foundations of these DSs are validated through extensive numerical experiments, demonstrating their effectiveness and precision. | ru_RU |
| dc.type | Article | ru_RU |