کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4627831 | 1631819 | 2014 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Exponential time differencing Crank–Nicolson method with a quartic spline approximation for nonlinear Schrödinger equations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Exponential time differencing Crank–Nicolson method with a quartic spline approximation for nonlinear Schrödinger equations Exponential time differencing Crank–Nicolson method with a quartic spline approximation for nonlinear Schrödinger equations](/preview/png/4627831.png)
چکیده انگلیسی
This paper studies a central difference and quartic spline approximation based exponential time differencing Crank–Nicolson (ETD-CN) method for solving systems of one-dimensional nonlinear Schrödinger equations and two-dimensional nonlinear Schrödinger equations. A local extrapolation is employed to achieve a fourth order accuracy in time. The numerical method is proven to be highly efficient and stable for long-range soliton computations. Numerical examples associated with Dirichlet, Neumann and periodic boundary conditions are provided to illustrate the accuracy, efficiency and stability of the method proposed.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 235, 25 May 2014, Pages 235–252
Journal: Applied Mathematics and Computation - Volume 235, 25 May 2014, Pages 235–252
نویسندگان
Xiao Liang, Abdul Q.M. Khaliq, Qin Sheng,