کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9740138 1489226 2005 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Trigonometrically fitted fifth-order runge-kutta methods for the numerical solution of the schrödinger equation
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Trigonometrically fitted fifth-order runge-kutta methods for the numerical solution of the schrödinger equation
چکیده انگلیسی
Two trigonometrically fitted methods based on a classical Runge-Kutta method of Kutta-Nyström are being constructed. The new methods maintain the fifth algebraic order of the classical one but also have some other significant properties. The most important one is that in the local truncation error of the new methods the powers of the energy are lower and that keeps the error at lower values, especially at high values of energy. The error analysis justifies the actual results when integrating the radial Schrödinger equation, where the high efficiency of the new methods is shown.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematical and Computer Modelling - Volume 42, Issues 7–8, October 2005, Pages 877-886
نویسندگان
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