Add to ORKG1 引言分数阶微分方程产生于一些反常扩散模型,已经被利用于模拟在工程,物理,化学和其它科学领域的许多现象．目前已有许多研究专家学者[1][2][3][4]从理论上对方程进行了研究．数值解方面,刘发旺教授等[5,6]首先提出利用行方法求解空间分数阶扩散方程来In this paper, a space-time fractional diffusion equation is considered. An explicit approximation is constructed. Stability and convergence of the method are discussed. Finally, some numerical examples are presented to show the space-time diffusion behaviors.国家自然科学基金(10271098) 福建省自然科学基金(Z0511009)赞助
In this work, we utilized the nonsingular kernel fractional derivative, known as Caputo-Fabrizio fra...
One of the ongoing issues with fractional-order diffusion models is the design of efficient numerica...
In this paper, we consider a space-time fractional advection dispersion equation (STFADE) on a finit...
In this paper, we consider two types of space-time fractional diffusion equations(STFDE) on a finite...
当前,对含有非整数阶导数和积分的方程的研究正引起越来越多学者的关注,这类分数阶导数和积分将广泛应用于科学和工程的各个领域.在标准扩散方程中用α(0<α≤1)阶分数阶导数替代一阶导数,用β(0<β≤2)...
We consider a space-time fractional diffusion equation on a finite domain. The equation is obtained ...
We consider a time and space-symmetric fractional diffusion equation (TSS-FDE) under homogeneous Dir...
A flexible numerical scheme for the discretization of the space–time fractional diffusion equation i...
In this paper, we consider a time fractional diffusion equation on a finite domain. The equation is ...
We consider a space-time fractional Fokker--Planck equation on a finite domain. The space-time frac...
The space fractional diffusion equation (?) is obtained from the classical diffusion equation by rep...
Abstract. In this article we analyze a fully discrete numerical approximation to a time depen-dent f...
In this paper, we consider a time fractional diffusion equation on a\ud finite domain. The equation ...
In this work, we utilized the nonsingular kernel fractional derivative, known as Caputo-Fabrizio fra...
One of the ongoing issues with fractional-order diffusion models is the design of efficient numerica...
In this paper, we consider a space-time fractional advection dispersion equation (STFADE) on a finit...
In this paper, we consider two types of space-time fractional diffusion equations(STFDE) on a finite...
当前,对含有非整数阶导数和积分的方程的研究正引起越来越多学者的关注,这类分数阶导数和积分将广泛应用于科学和工程的各个领域.在标准扩散方程中用α(0<α≤1)阶分数阶导数替代一阶导数,用β(0<β≤2)...
We consider a space-time fractional diffusion equation on a finite domain. The equation is obtained ...
We consider a time and space-symmetric fractional diffusion equation (TSS-FDE) under homogeneous Dir...
A flexible numerical scheme for the discretization of the space–time fractional diffusion equation i...
In this paper, we consider a time fractional diffusion equation on a finite domain. The equation is ...
We consider a space-time fractional Fokker--Planck equation on a finite domain. The space-time frac...
The space fractional diffusion equation (?) is obtained from the classical diffusion equation by rep...
Abstract. In this article we analyze a fully discrete numerical approximation to a time depen-dent f...
In this paper, we consider a time fractional diffusion equation on a\ud finite domain. The equation ...
In this work, we utilized the nonsingular kernel fractional derivative, known as Caputo-Fabrizio fra...
One of the ongoing issues with fractional-order diffusion models is the design of efficient numerica...
In this paper, we consider a space-time fractional advection dispersion equation (STFADE) on a finit...