کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5776029 1631960 2018 26 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Unconditional optimal error estimates for BDF2-FEM for a nonlinear Schrödinger equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Unconditional optimal error estimates for BDF2-FEM for a nonlinear Schrödinger equation
چکیده انگلیسی
This paper analyzes unconditional optimal error estimates for a 2-step backward differentiation formula (BDF2) method for a nonlinear Schrödinger equation. In the analysis, we split an error estimate into two parts, one from the spatial discretization and the other from the temporal discretization. We present the boundedness of the solution of the time-discrete system in the certain strong norms, and the error estimates for time discretization. By these boundedness and temporal error estimates, we obtain the L2 error estimates without any conditions on a time step size. Numerical experiments are provided to validate our analysis and check the efficiency of our method.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 331, 15 March 2018, Pages 23-41
نویسندگان
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