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A fast algorithm for multi-term time-space fractional diffusion equation with fractional boundary condition
In this paper, the multi-term time-space fractional diffusion equation with fractional boundary conditions is considered. The fractional derivative...
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A fast algorithm for time-fractional diffusion equation with space-time-dependent variable order
We investigate a fast algorithm for the time-fractional diffusion equation with a space-time-dependent variable order, which models, e.g., the...
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A numerical approach for nonlinear time-fractional diffusion equation with generalized memory kernel
In this manuscript, a nonlinear time-fractional diffusion equation with a generalized memory kernel is studied. Initially, the original model problem...
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Discrete comparison principle of a finite difference method for the multi-term time fractional diffusion equation
A discrete comparison principle is given for the multi-term time fractional diffusion equation, where the discrete scheme is based on L1...
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A high-order numerical scheme for multidimensional convection-diffusion-reaction equation with time-fractional derivative
This paper considers a high-order numerical method for a computed solution of multidimensional convection-diffusion-reaction equation with...
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Iteration regularization method for a sideways problem of time-fractional diffusion equation
We investigate a sideways problem of the time-fractional diffusion equation. This problem is ill-posed in the sense that the solution (if it exists)...
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An iterative generalized quasi-boundary value regularization method for the backward problem of time fractional diffusion-wave equation in a cylinder
In this paper, we consider the backward problem for a time fractional diffusion-wave equation in a cylinder. The ill-posedness and a conditional...
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Novel numerical methods based on graded, adaptive and uniform meshes for a time-fractional advection-diffusion equation subjected to weakly singular solution
This paper presents adaptive, graded and uniform mesh schemes to approximate the solution of a fractional order advection-diffusion model, which...
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An efficient numerical method on modified space-time sparse grid for time-fractional diffusion equation with nonsmooth data
In this paper, we focus on develo** a high efficient algorithm for solving d -dimension time-fractional diffusion equation (TFDE). For TFDE, the...
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Fractional Diffusion Problems with Reflecting Boundaries
Anomalous diffusive transport, described by fractional differential equations, arises in a large variety of physical problems. We consider a...
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Gradient Optimization in Reconstruction of the Diffusion Coefficient in a Time Fractional Integro-Differential Equation of Pollution in Porous Media
An optimization Lagrange multiplier adjoint equation approach for an inverse problem of estimating a space-dependent diffusion coefficient in a...
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A fast and high-order IMEX method for non-linear time-space-fractional reaction-diffusion equations
An efficient and high-order numerical method is presented for solving a time-space-fractional reaction-diffusion equation. Matrix transfer technique...
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A fast linearized virtual element method on graded meshes for nonlinear time-fractional diffusion equations
In this paper, we develop a fast linearized virtual element method (VEM) for the approximation of the nonlinear time-fractional diffusion equations...
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Preconditioning techniques of all-at-once systems for multi-term time-fractional diffusion equations
In this paper, we consider solutions for discrete systems arising from multi-term time-fractional diffusion equations. Using discrete sine transform...
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A novel banded preconditioner for coupled tempered fractional diffusion equation generated from the regime-switching CGMY model
With the growing popularity of the regime-switching Lévy processes model in option pricing, the coupled tempered fractional diffusion equation...
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A solely time-dependent source reconstruction in a multiterm time-fractional order diffusion equation with non-smooth solutions
An inverse source problem for non-smooth multiterm time Caputo fractional diffusion with fractional order designed as β 0 < β 1 < ⋯ < β M < 1 is the...
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On the Solution of Time-Fractional Diffusion Models
In many situations, the analysis of viscoelastic materials, like polymers, takes benefit from the introduction of fractional operators in the...
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Error analysis of a high-order fully discrete method for two-dimensional time-fractional convection-diffusion equations exhibiting weak initial singularity
This study presents a novel high-order numerical method designed for solving the two-dimensional time-fractional convection-diffusion (TFCD)...
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Efficient difference method for time-space fractional diffusion equation with Robin fractional derivative boundary condition
In this paper, a numerical method is proposed to solve the time-space fractional diffusion equation with Robin fractional derivative boundary...
