|
|
|
|
A reliable implicit difference scheme for treatments of fourth-order fractional sub-diffusion equation
|
|
|
|
|
|
|
|
نویسنده
|
sayevand k. ,arjang f.
|
|
منبع
|
scientia iranica - 2017 - دوره : 24 - شماره : 3-B - صفحه:1100 -1107
|
|
چکیده
|
In this paper, a reliable implicit difference scheme is proposed to analyze the fractional fourth-order subdiffusion equation on a bounded domain. the time-fractional derivative operator is characterized in the ji huan he's sense, and the space derivative is approximated by the five-point centered formula. the numerical parameters, i.e. consistency, stability, and convergence analyses of the considered scheme, are proven.
|
|
کلیدواژه
|
Ji Huan He's fractional derivative; Convergence; Finite difference approximation; Fractional differential equations; Stability.
|
|
آدرس
|
malayer university, faculty of mathematical sciences, ایران, malayer university, faculty of mathematical sciences, ایران
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|