Nonlinear Multi-Point Problems Via Chelyshkov Approach

Cem Oğuz

doi:10.17798/bitlisfen.1817435

Nonlinear Multi-Point Problems Via Chelyshkov Approach

Abstract

This study addresses a numerical method based on Chelyshkov polynomials for solving nonlinear multi-point boundary value problems (NBVPs). These polynomials are orthogonal on providing a solid basis for approximating solutions. The method converts the nonlinear equations with boundary conditions into a matrix structure and allows solutions to be computed in an efficient manner. The chosen examples demonstrate the method’s accuracy and practical advantages over existing techniques. Beyond NBVPs, the approach can also be applied to a broader class of functional differential equations in fields such as physics, biology, and engineering, offering a robust and adaptable tool for researchers tackling complex problems.

Keywords

Ethical Statement

The study complies with research and publication ethics.

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Details

Primary Language

English

Subjects

Mathematical Methods and Special Functions

Journal Section

Research Article

Authors

Cem Oğuz ^*
0000-0001-6176-0706
Türkiye

Publication Date

June 30, 2026

Submission Date

November 4, 2025

Acceptance Date

April 7, 2026

Published in Issue

Year 2026 Volume: 15 Number: 2

DOI

https://doi.org/10.17798/bitlisfen.1817435

IZ

https://izlik.org/JA54XX35AT

Cite

RIS / Bibtex

APA

Oğuz, C. (2026). Nonlinear Multi-Point Problems Via Chelyshkov Approach. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, 15(2), 696-706. https://doi.org/10.17798/bitlisfen.1817435

AMA

1.Oğuz C. Nonlinear Multi-Point Problems Via Chelyshkov Approach. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2026;15(2):696-706. doi:10.17798/bitlisfen.1817435

Chicago

Oğuz, Cem. 2026. “Nonlinear Multi-Point Problems Via Chelyshkov Approach”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 15 (2): 696-706. https://doi.org/10.17798/bitlisfen.1817435.

EndNote

Oğuz C (June 1, 2026) Nonlinear Multi-Point Problems Via Chelyshkov Approach. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 15 2 696–706.

IEEE

[1]C. Oğuz, “Nonlinear Multi-Point Problems Via Chelyshkov Approach”, Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, vol. 15, no. 2, pp. 696–706, June 2026, doi: 10.17798/bitlisfen.1817435.

ISNAD

Oğuz, Cem. “Nonlinear Multi-Point Problems Via Chelyshkov Approach”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 15/2 (June 1, 2026): 696-706. https://doi.org/10.17798/bitlisfen.1817435.

JAMA

1.Oğuz C. Nonlinear Multi-Point Problems Via Chelyshkov Approach. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2026;15:696–706.

MLA

Oğuz, Cem. “Nonlinear Multi-Point Problems Via Chelyshkov Approach”. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, vol. 15, no. 2, June 2026, pp. 696-0, doi:10.17798/bitlisfen.1817435.

Vancouver

1.Cem Oğuz. Nonlinear Multi-Point Problems Via Chelyshkov Approach. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2026 Jun. 1;15(2):696-70. doi:10.17798/bitlisfen.1817435