Method of lines and Runge-Kutta method for solving delayed one dimensional transport equation


Authors

S. Karthick - Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur-603 203, Tamilnadu, India. R. Mahendran - Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur-603 203, Tamilnadu, India. V. Subburayan - Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur-603 203, Tamilnadu, India.


Abstract

In this article we consider a delayed one dimensional transport equation. The method of lines with Runge-Kutta method is applied to solve the problem. It is proved that the present method is stable and convergence of order \(O(\Delta t+\bar{h}^{4})\). Numerical examples are presented to illustrate the method presented in this article.


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ISRP Style

S. Karthick, R. Mahendran, V. Subburayan, Method of lines and Runge-Kutta method for solving delayed one dimensional transport equation, Journal of Mathematics and Computer Science, 28 (2023), no. 3, 270--280

AMA Style

Karthick S., Mahendran R., Subburayan V., Method of lines and Runge-Kutta method for solving delayed one dimensional transport equation. J Math Comput SCI-JM. (2023); 28(3):270--280

Chicago/Turabian Style

Karthick, S., Mahendran, R., Subburayan, V.. "Method of lines and Runge-Kutta method for solving delayed one dimensional transport equation." Journal of Mathematics and Computer Science, 28, no. 3 (2023): 270--280


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