A New Transformation Method for Solving High-Order Boundary Value Problems

Merve Yücel; Fahreddin Muhtarov; Oktay Mukhtarov

doi:10.53570/jnt.1171760

EN

A New Transformation Method for Solving High-Order Boundary Value Problems

Abstract

The main purpose of this work is to provide a new approximation method, the so-called parameterised differential transform method (PDTM), for solving high-order boundary value problems (HOBVPs). Our method is based on the classical differential transform method and differs from it by calculating the coefficients of the solution, which has the form of a series. We applied the proposed new method to fourth-order boundary value problems to substantiate it. The resulting solution is graphically compared with the exact solution and the solutions obtained by the classical DTM and ADM methods.

Keywords

Differential transform method, Boundary Value Problem, Approximate solution

References

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Details

Primary Language

English

Subjects

Applied Mathematics

Journal Section

Research Article

Authors

Merve Yücel ^*
0000-0001-7990-2821
Türkiye

Fahreddin Muhtarov
0000-0002-5482-2478
Azerbaijan

Oktay Mukhtarov
0000-0001-7480-6857
Türkiye

Publication Date

September 30, 2022

Submission Date

September 6, 2022

Acceptance Date

September 29, 2022

Published in Issue

Year 2022 Number: 40

DOI

https://doi.org/10.53570/jnt.1171760

IZ

https://izlik.org/JA48JU84FE

APA

Yücel, M., Muhtarov, F., & Mukhtarov, O. (2022). A New Transformation Method for Solving High-Order Boundary Value Problems. Journal of New Theory, 40, 90-100. https://doi.org/10.53570/jnt.1171760

AMA

1.Yücel M, Muhtarov F, Mukhtarov O. A New Transformation Method for Solving High-Order Boundary Value Problems. JNT. 2022;(40):90-100. doi:10.53570/jnt.1171760

Chicago

Yücel, Merve, Fahreddin Muhtarov, and Oktay Mukhtarov. 2022. “A New Transformation Method for Solving High-Order Boundary Value Problems”. Journal of New Theory, nos. 40: 90-100. https://doi.org/10.53570/jnt.1171760.

EndNote

Yücel M, Muhtarov F, Mukhtarov O (September 30, 2022) A New Transformation Method for Solving High-Order Boundary Value Problems. Journal of New Theory 40 90–100.

IEEE

[1]M. Yücel, F. Muhtarov, and O. Mukhtarov, “A New Transformation Method for Solving High-Order Boundary Value Problems”, JNT, no. 40, pp. 90–100, Sept. 2022, doi: 10.53570/jnt.1171760.

ISNAD

Yücel, Merve - Muhtarov, Fahreddin - Mukhtarov, Oktay. “A New Transformation Method for Solving High-Order Boundary Value Problems”. Journal of New Theory. 40 (September 30, 2022): 90-100. https://doi.org/10.53570/jnt.1171760.

JAMA

1.Yücel M, Muhtarov F, Mukhtarov O. A New Transformation Method for Solving High-Order Boundary Value Problems. JNT. 2022;:90–100.

MLA

Yücel, Merve, et al. “A New Transformation Method for Solving High-Order Boundary Value Problems”. Journal of New Theory, no. 40, Sept. 2022, pp. 90-100, doi:10.53570/jnt.1171760.

Vancouver

1.Merve Yücel, Fahreddin Muhtarov, Oktay Mukhtarov. A New Transformation Method for Solving High-Order Boundary Value Problems. JNT. 2022 Sep. 30;(40):90-100. doi:10.53570/jnt.1171760

Cited By

Finite Difference Approach for Fourth-Order Impulsive Sturm-Liouville Boundary Value Problems

Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi

https://doi.org/10.18185/erzifbed.1593935