A septic B-spline collocation method for solving the generalized equal width wave equation
Keywords:
Collocation method, GEW equation, septic B-spline, solitary waves, soliton.Abstract
In this work, a septic B-spline collocation method is implemented to find the numerical solution of the generalized equalwidth (GEW) wave equation by using two different linearization techniques. Test problems including single soliton,interaction of solitons and Maxwellian initial condition are solved to verify the proposed method by calculating the errornorms L2 and L∞ and the invariants I1, I2 and I3. Applying the Von-Neumann stability analysis, the proposed method isshown to be unconditionally stable. As a result, the obtained results are found in good agreement with the some recentresults.References
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