A Linear Implicit Finite Difference Discretization of the Schrödinger–Hirota Equation

A new linear implicit finite difference method is proposed for the approximation of the solution to a periodic, initial value problem for a Schrödinger–Hirota equation. Optimal, second order convergence in the discrete H 1 -norm is proved, assuming that τ , h and τ 4 h are sufficiently small, where...

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