A new approach on numerical solutions of the improved Boussinesq type equation using quadratic B-spline Galerkin finite element method. (English) Zbl 1410.65381
Summary: In the present manuscript, some numerical solutions of an improved Boussinesq type equation are obtained by means of quadratic B-spline Galerkin finite element method. Then, error norms \(L_{2}\) and \(L_{\infty}\) have been calculated to test the accuracy of the current method. In the manuscript, solitary wave movement and interaction of solitary-antisolitary waves are considered as test problems.
MSC:
| 65M60 | Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs |
| 35Q53 | KdV equations (Korteweg-de Vries equations) |
Keywords:
improved Boussinesq type equation; Galerkin finite element method; quadratic B-spline; solitary waves; interactionReferences:
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