Method of lines and RungeKutta 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, Kattankulathur603 203, Tamilnadu, India.
R. Mahendran
 Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur603 203, Tamilnadu, India.
V. Subburayan
 Department of Mathematics, Faculty of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur603 203, Tamilnadu, India.
Abstract
In this article we consider a delayed one dimensional transport equation. The method of lines with RungeKutta 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.
Share and Cite
ISRP Style
S. Karthick, R. Mahendran, V. Subburayan, Method of lines and RungeKutta method for solving delayed one dimensional transport equation, Journal of Mathematics and Computer Science, 28 (2023), no. 3, 270280
AMA Style
Karthick S., Mahendran R., Subburayan V., Method of lines and RungeKutta method for solving delayed one dimensional transport equation. J Math Comput SCIJM. (2023); 28(3):270280
Chicago/Turabian Style
Karthick, S., Mahendran, R., Subburayan, V.. "Method of lines and RungeKutta method for solving delayed one dimensional transport equation." Journal of Mathematics and Computer Science, 28, no. 3 (2023): 270280
Keywords
 Stable method
 RungeKutta method
 transport equation
 method of lines
MSC
 34K10
 35B50
 35F10
 65M06
 65M12
 65M15
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