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RBF Meshless Method of Lines for the Numerical Solution of Nonlinear Sine-Gordon Equation |
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| รหัสดีโอไอ | |
| Creator | Marjan UDDIN, Arshad HUSSAIN, Sirajul HAQ, Amjad ALI |
| Title | RBF Meshless Method of Lines for the Numerical Solution of Nonlinear Sine-Gordon Equation |
| Publisher | Walailak University |
| Publication Year | 2557 |
| Journal Title | Walailak Journal of Science and Technology |
| Journal Vol. | 11 |
| Journal No. | 4 |
| Page no. | 349-360 |
| Keyword | MOL, RBF, sine-Gordon equation, single soliton, soliton doublets |
| ISSN | 1686-3933 |
| Abstract | In this paper, a meshless method of lines (MOL) is applied for the numerical solution of nonlinear sine-Gordon equations. This technique does not require a mesh in the problem domain, and only a set of scattered nodes provided by initial data is required for the solution of the problem using some radial basis functions (RBF). The scheme is tested for single solitons, collision of breathers and soliton doublets. The results obtained from the method are compared with the exact solutions and earlier work. |
