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首页> 外文期刊>International journal of nonlinear sciences and numerical simulation >Numerical investigation of the solutions of Schrodinger equation with exponential cubic B-spline finite element method
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Numerical investigation of the solutions of Schrodinger equation with exponential cubic B-spline finite element method

机译：指数立方B样条有限元法的薛定林方程解的数值研究

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摘要

In this paper, we investigate the numerical solutions of the cubic nonlinear Schrodinger equation via the exponential cubic B-spline collocation method. Crank-Nicolson formulas are used for time discretization of the target equation. A linearization technique is also employed for the numerical purpose. Four numerical examples related to single soliton, collision of two solitons that move in opposite directions, the birth of standing and mobile solitons and bound state solution are considered as the test problems. The accuracy and the efficiency of the purposed method are measured by max error norm and conserved constants. The obtained results are compared with the possible analytical values and those in some earlier studies.
机译：None

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