DOAJ Open Access 2024

The compact eighth-order of approximation difference schemes for fourth-order differential equation

A. Ashyralyev I.M. Ibrahim

Abstrak

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.

Topik & Kata Kunci

Analysis Analytic mechanics Probabilities. Mathematical statistics

Penulis (2)

A. Ashyralyev

I.M. Ibrahim

Format Sitasi

APA MLA BibTeX

Ashyralyev, A., Ibrahim, I. (2024). The compact eighth-order of approximation difference schemes for fourth-order differential equation. https://doi.org/10.31489/2024m4/18-30

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Informasi Jurnal

Tahun Terbit: 2024
Sumber Database: DOAJ
DOI: 10.31489/2024m4/18-30
Akses: Open Access ✓