CAJ | 학술논문

针对两边空间分数阶反常扩散方程的初边值问题提出了一种隐式差分格式。利用 Ger-schgorin 定理得到了差分格式的稳定性，然后利用 Lax 等价定理证明了在相同条件下差分格式是收敛的，最后通过一个数值例子说明了所提出的差分格式是可靠和有效的。
침대량변공간분수계반상확산방정적초변치문제제출료일충은식차분격식。이용 Ger-schgorin 정리득도료차분격식적은정성，연후이용 Lax 등개정리증명료재상동조건하차분격식시수렴적，최후통과일개수치례자설명료소제출적차분격식시가고화유효적。
In this paper,an implicit difference scheme is proposed to solve initial boundary value problems of two-sided space fractional anomalous diffusion equation.Their stability is achieved by means of Gerschgorin theorem.Through the theorem of Lax,it is proved that difference schemes are convergence under the same condition.Finally,an illustrative example is used to demonstrate the validity and applicability of the difference scheme.