کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4638806 1632013 2015 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
High order unconditionally stable difference schemes for the Riesz space-fractional telegraph equation
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
High order unconditionally stable difference schemes for the Riesz space-fractional telegraph equation
چکیده انگلیسی

In this paper, a class of unconditionally stable difference schemes based on the Padé approximation is presented for the Riesz space-fractional telegraph equation. Firstly, we introduce a new variable to transform the original differential equation to an equivalent differential equation system. Then, we apply a second order fractional central difference scheme to discretize the Riesz space-fractional operator. Finally, we use (1,1)(1,1), (2,2)(2,2) and (3,3)(3,3) Padé approximations to give a fully discrete difference scheme for the resulting linear system of ordinary differential equations. Matrix analysis is used to show the unconditional stability of the proposed algorithms. Two examples with known exact solutions are chosen to assess the proposed difference schemes. Numerical results demonstrate that these schemes provide accurate and efficient methods for solving a space-fractional hyperbolic equation.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational and Applied Mathematics - Volume 278, 15 April 2015, Pages 119–129
نویسندگان
, , , ,