The modified Korteweg-deVries (MKdV) is numerically solved using a new algorithm based on the finite element approach applying Galerkin’s method with quadratic spline interpolation functions. The stability of the proposed scheme is discussed. Numerical tests for one, two, and three solitons have been used to assess the performance of the proposed scheme.
机构:
Univ Nantes, SUBATECH, 4 Rue Alfred Kastler,BP 20722, F-44307 Nantes, FranceUniv Nantes, SUBATECH, 4 Rue Alfred Kastler,BP 20722, F-44307 Nantes, France
机构:
Queen Mary Univ London, Sch Phys & Astron, Astron Unit, London E1 4NS, EnglandQueen Mary Univ London, Sch Phys & Astron, Astron Unit, London E1 4NS, England