doi: 10.7763/IJAPM.2012.V2.92
Solutions of Inviscid Burgers’ and Equal Width Wave Equations by RDTM
- the DPT, IIT, ROORKEE.
Abstract
In this paper, the Reduced Differential Transform method (RDTM) is used to find the numerical solution of the equal width wave (EW) equation and the exact analytical solution of the inviscid Burgers' equation with initial conditions. The method has been used successfully to investigate the motion of a single solitary wave that is governed by the EW equation. The solution is obtained in the form of convergent power series. The results obtained show that the error norms to the exact solutions are reasonably small and that the present method is easier and powerful than some other known techniques.
Keywords
- Single solitary wave
- equal width wave (EW) equation
- inviscid burgers' equation
- reduced differential transform method (RDTM)
How to Cite
Rajan Arora, Md. Junaid Siddiqui, and V. P. Singh, "Solutions of Inviscid Burgers’ and Equal Width Wave Equations by RDTM," International Journal of Applied Physics and Mathematics, vol. 2, no. 3, pp. 212-214, 2012. https://doi.org/ 10.7763/IJAPM.2012.V2.92
Copyright & License
Copyright © 2012 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).