Split-step modified cubic B-splines collocation methods for nonlinear Schr?dinger equations with Dirichlet boundary conditions

机译：用于非线性SCHR的分流分段修改立方B样曲键配套方法与Dirichlet边界条件的Dinger方程

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The split-step modified cubic B-splines collocation (SSM3BC) method is constructed by combining the split-step approach with the modified cubic B-splines collocation method for the two-dimensional (2D) nonlinear Schr?dinger (NLS) equation. Numerical tests are carried out, and the SSM3BC schemes are efficient both for the one-dimensional (1D) and 2D NLS equations. It is also numerically verified that the proposed 1D and 2D schemes are second-order convergence both in time and space.

机译：通过将分割步骤方法与二维（2D）非线性SCHRαdinger（NLS）方程的改进的立方B样曲键配合方法组合，构造分流步骤修改立方B样曲键搭配（SSM3C）方法。执行数值测试，并且SSM3BC方案对于一维（1D）和2D NLS方程而言是有效的。在数值验证的情况下，所提出的1D和2D方案是在时间和空间中的二阶收敛。

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《International Conference of Numerical Analysis and Applied Mathematics》|2019年|various paging|共4页
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Shanshan Wang;
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中图分类计量学;
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2. Split-step orthogonal spline collocation methods for nonlinear Schr?dinger equations in one, two, and three dimensions [J] . Wang S., Zhang L. Applied mathematics and computation . 2011,第5期

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3. Lagrange interpolation and modified cubic B-spline differential quadrature methods for solving hyperbolic partial differential equations with Dirichlet and Neumann boundary conditions [J] . Jiwari Ram Computer physics communications . 2015,第Null期

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4. Split-step modified cubic B-splines collocation methods for nonlinear Schr?dinger equations with Dirichlet boundary conditions [C] . Shanshan Wang International Conference of Numerical Analysis and Applied Mathematics . 2019

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Split-step modified cubic B-splines collocation methods for nonlinear Schr?dinger equations with Dirichlet boundary conditions

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