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Meshless Method of Lines for Numerical Solution of Kawahara Type Equations

In this work, an algorithm based on method of lines coupled with radial basis functions namely meshless method of lines (MMOL) is presented for the numerical solution of Kawahara, modified Kawahara and KdV Kawahara equations. The motion of a single solitary wave, interaction of two and three solitons and the phenomena of wave generation is discussed. The results are compared with the exact solution and with the results in the relevant literature to show the efficiency of the method.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

N. Bibi, S. Tirmizi and S. Haq, "Meshless Method of Lines for Numerical Solution of Kawahara Type Equations,"

*Applied Mathematics*, Vol. 2 No. 5, 2011, pp. 608-618. doi: 10.4236/am.2011.25081.

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