A sine-cosine wavelet method for the approximation solutions of the fractional Bagley-Torvik equation

Arzu Turan Dincel

A sine-cosine wavelet method for the approximation solutions of the fractional Bagley-Torvik equation

Abstract

Fractional Bagley-Torvik differential equations can be used to model a variety of natural phenomena in many branches of applied mathematics and engineering in general. The focus of this study is on solving the fractional Bagley-Torvik equations by using sine-cosine wavelet. To this end, the operational matrix of fractional integration is obtained for sine-cosine wavelets. By utilizing this matrix, fractional Bagley-Torvik differential equation is transformed to a system of linear algebraic equations with unknown coefficients, which in turn can readily be solved using numerical solution methods. Test examples are provided to demonstrate the validity and efficiency of this approach.

Keywords

References

The article references can be accessed from the .pdf file.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

Arzu Turan Dincel ^* This is me
0000-0002-0416-1878
Türkiye

Publication Date

March 25, 2022

Submission Date

March 17, 2021

Acceptance Date

July 8, 2021

Published in Issue

Year 2022 Volume: 40 Number: 1

IZ

https://izlik.org/JA42MW26MJ

Cite

RIS / Bibtex

APA

Turan Dincel, A. (2022). A sine-cosine wavelet method for the approximation solutions of the fractional Bagley-Torvik equation. Sigma Journal of Engineering and Natural Sciences, 40(1), 150-154. https://izlik.org/JA42MW26MJ

AMA

1.Turan Dincel A. A sine-cosine wavelet method for the approximation solutions of the fractional Bagley-Torvik equation. SIGMA. 2022;40(1):150-154. https://izlik.org/JA42MW26MJ

Chicago

Turan Dincel, Arzu. 2022. “A Sine-Cosine Wavelet Method for the Approximation Solutions of the Fractional Bagley-Torvik Equation”. Sigma Journal of Engineering and Natural Sciences 40 (1): 150-54. https://izlik.org/JA42MW26MJ.

EndNote

Turan Dincel A (March 1, 2022) A sine-cosine wavelet method for the approximation solutions of the fractional Bagley-Torvik equation. Sigma Journal of Engineering and Natural Sciences 40 1 150–154.

IEEE

[1]A. Turan Dincel, “A sine-cosine wavelet method for the approximation solutions of the fractional Bagley-Torvik equation”, SIGMA, vol. 40, no. 1, pp. 150–154, Mar. 2022, [Online]. Available: https://izlik.org/JA42MW26MJ

ISNAD

Turan Dincel, Arzu. “A Sine-Cosine Wavelet Method for the Approximation Solutions of the Fractional Bagley-Torvik Equation”. Sigma Journal of Engineering and Natural Sciences 40/1 (March 1, 2022): 150-154. https://izlik.org/JA42MW26MJ.

JAMA

1.Turan Dincel A. A sine-cosine wavelet method for the approximation solutions of the fractional Bagley-Torvik equation. SIGMA. 2022;40:150–154.

MLA

Turan Dincel, Arzu. “A Sine-Cosine Wavelet Method for the Approximation Solutions of the Fractional Bagley-Torvik Equation”. Sigma Journal of Engineering and Natural Sciences, vol. 40, no. 1, Mar. 2022, pp. 150-4, https://izlik.org/JA42MW26MJ.

Vancouver

1.Arzu Turan Dincel. A sine-cosine wavelet method for the approximation solutions of the fractional Bagley-Torvik equation. SIGMA [Internet]. 2022 Mar. 1;40(1):150-4. Available from: https://izlik.org/JA42MW26MJ