Regarding the group preserving scheme and method of line to the numerical simulations of Klein–Gordon model
In this work a powerful method is presented to solve the Klein–Gordon equation (KGE). Firstly, a discretization is implemented on the original equation. Then a geometric technique is applied to obtain the approximate solutions. Some examples containing one-dimensional and two-dimensional are solved...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2019-12-01
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| Series: | Results in Physics |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379719319254 |
| Summary: | In this work a powerful method is presented to solve the Klein–Gordon equation (KGE). Firstly, a discretization is implemented on the original equation. Then a geometric technique is applied to obtain the approximate solutions. Some examples containing one-dimensional and two-dimensional are solved to prove the power and the capability of the offered scheme. Indeed, graphs of the exact solution, numerical solution, absolute error and the contour plot of error are provided successfully. Keywords: Method of line, Nonlinear Klein–Gordon equation, Group preserving scheme |
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| ISSN: | 2211-3797 |