کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8901202 1631732 2018 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
High-order implicit Galerkin-Legendre spectral method for the two-dimensional Schrödinger equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
High-order implicit Galerkin-Legendre spectral method for the two-dimensional Schrödinger equation
چکیده انگلیسی
In this paper, we propose Galerkin-Legendre spectral method with implicit Runge-Kutta method for solving the unsteady two-dimensional Schrödinger equation with nonhomogeneous Dirichlet boundary conditions and initial condition. We apply a Galerkin-Legendre spectral method for discretizing spatial derivatives, and then employ the implicit Runge-Kutta method for the time integration of the resulting linear first-order system of ordinary differential equations in complex domain. We derive the spectral rate of convergence for the proposed method in the L2-norm for the semidiscrete formulation. Numerical experiments show our formulation have high-order accuracy.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 324, 1 May 2018, Pages 59-68
نویسندگان
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