Title :
A finite difference method for time-fractional telegraph equation
Author :
Li, Changpin ; Cao, Jianxiong
Author_Institution :
Dept. of Math., Shanghai Univ., Shanghai, China
Abstract :
A finite difference scheme is presented for a kind of linear time-fractional telegraph equation. The equation is derived from the classical integer order telegraph equation by replacing the second order time derivative with a fractional derivative of order 1 <; α <; 2. The stability and convergence of the scheme are proved by using the energy method. A numerical example is provided to illustrate the results derived in this paper.
Keywords :
convergence of numerical methods; finite difference methods; numerical stability; convergence; energy method; finite difference method; fractional derivative; integer order telegraph equation; linear time-fractional telegraph equation; stability; Boundary conditions; Convergence; Equations; Fractional calculus; Numerical stability; Stability analysis;
Conference_Titel :
Mechatronics and Embedded Systems and Applications (MESA), 2012 IEEE/ASME International Conference on
Conference_Location :
Suzhou
Print_ISBN :
978-1-4673-2347-5
DOI :
10.1109/MESA.2012.6275581
