On the solutions of the q-analogue of the telegraph differential equation

Author:

KARAHAN Döne1

Affiliation:

1. HARRAN ÜNİVERSİTESİ, FEN-EDEBİYAT FAKÜLTESİ

Abstract

In this work, q-analogue of the telegraph differential equation is investigated. The approximation solution of q-analogue of the telegraph differential equation is founded by using the Laplace transform collocation method (LTCM). Then, the exact solution is compared with the approximation solution for q-analogue of the telegraph differential equation. The results showed that the method is useful and effective for q-analogue of the telegraph differential equation.

Publisher

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

Subject

General Medicine

Reference13 articles.

1. Euler, L., Introduction in Analysin Infinitorum, vol. 1, Lausanne, Switzerland, Bousquet, 1748.

2. Ernst, T., The History of q-Calculus and a New Method, U.U.D.M. Report 2000, 16, Uppsala, Department of Mathematics, Uppsala University, 2000.

3. Kac, V., Cheung, P., Quantum Calculus, Universitext, Springer, New York, 2002.

4. Annaby, M.H., Mansour, Z.S., q-Fractional Calculus and Equations, Lecture Notes in Mathematics, vol. 2056, Springer, Heidelberg, 2012. https://doi.org/10.1007/978-3-642- 30898-7

5. Karahan, D., Mamedov, Kh.R., Sampling theory associated with q-Sturm-Liouville operator with discontinuity conditions, Journal of Contemporary Applied Mathematics, 10(2) (2020), 1-9.

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