Work

A Sixth-Order Cubic B-Spline Approach for Solving Linear Boundary Value Problems: An In-Depth Analysis and Comparative Study

Year: 2024

Type: article

Abstract: This research presents an efficient and highly accurate cubic B-spline method (CBSM) for solving second-order linear boundary value problems (BVPs). The method achieves sixth-order convergence, supported by rigorous error analysis, ensuring rapid error reduction with mesh refinement. The effectiveness of the CBSM is validated through four numerical examples, showcasing its accuracy, reliability, and computational efficiency, making it well-suited for large-scale problems. A comparative analysis with existing methods confirms the superior performance of the CBSM, positioning it as a practical and powerful tool for solving second-order BVPs.

Source: Mathematics

DOI: 10.3390/math12203274

Authors: Ram Kishun Lodhi, Moustafa S. Darweesh, Abdelkarim Aydi, Lioua Kolsi, Anil Sharma, Katta Ramesh

Institutions: Symbiosis International University, Northern Border University, University of Ha'il, Chandigarh University, Lovely Professional University, Graphic Era University, Sunway University

Language: English

Topic: Advanced Numerical Analysis Techniques

Subfield: Computational Mechanics

Field: Engineering

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,955

OpenAlex ID: W4403603199

FWCI: 0.205

Cites: 40

Cited by: 1

Related to: 10