Work

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

Year: 2024

Type: article

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.

Source: BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS

DOI: 10.31489/2024m4/18-30

Authors: A. Ashyralyev, I.M. Ibrahim

Institutions: Peoples' Friendship University of Russia, Bahçeşehir University, Institute of Mathematics and Mathematical Modeling, Akre University for Applied Sciences, Near East University

Language: English

Topic: Differential Equations and Numerical Methods

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4405885383

FWCI:

Cites: 18

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Related to: 10