A Numerical Method Based on Operator Splitting Collocation Scheme for Nonlinear Schrödinger Equation
Mengli Yao,
Zhifeng Weng
Abstract:In this paper, a second-order operator splitting method combined with the barycentric Lagrange interpolation collocation method is proposed for the nonlinear Schrödinger equation. The equation is split into linear and nonlinear parts: the linear part is solved by the barycentric Lagrange interpolation collocation method in space combined with the Crank–Nicolson scheme in time; the nonlinear part is solved analytically due to the availability of a closed-form solution, which avoids solving the nonlinear algebra… Show more
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