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A fast time two-mesh finite volume element algorithm for the nonlinear time-fractional coupled diffusion model
In this work, a fast second-order finite volume element (FVE) algorithm is proposed to solve the nonlinear time-fractional coupled diffusion model...
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Parameter estimation for time-fractional Black-Scholes equation with S &P 500 index option
This paper aims to estimate the parameters of the time-fractional Black-Scholes (TFBS) partial differential equation with the Caputo fractional...
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A stable second-order difference scheme for the generalized time-fractional non-Fickian delay reaction-diffusion equations
In this paper, we construct a stable finite difference scheme for the generalized non-Fickian time-fractional reaction-diffusion equations with time...
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High-performance fractional anisotropic diffusion filter for portable applications
Anisotropic diffusion is one of the most effective methods used in image processing. It can be used to eliminate the small textures of an image while...
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Fractional centered difference schemes and banded preconditioners for nonlinear Riesz space variable-order fractional diffusion equations
In this paper, high-order finite difference methods are proposed to solve the initial-boundary value problem for one- and two-dimensional Riesz space...
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Numerical solution of distributed-order fractional Korteweg-de Vries equation via fractional Zigzag rising diagonal functions
The goal of this article is to develop a spectral collocation method for solving a distributed-order fractional Korteweg-de Vries equation using...
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A fourth-order compact difference method for the nonlinear time-fractional fourth-order reaction–diffusion equation
In this paper, a high-order compact scheme is proposed for solving two-dimensional nonlinear time-fractional fourth-order reaction-diffusion...
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Novel Numerical Approach for Time Fractional Equations with Nonlocal Condition
A numerical method for solving inhomogeneous nonlocal time fractional convection-diffusion-reaction equations with variable coefficients has been...
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A high-order adaptive numerical algorithm for fractional diffusion wave equation on non-uniform meshes
In this work, our motivation is to design an impressive new numerical approximation on non-uniform grid points for the Caputo fractional derivative...
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Stability of Fractional Reaction-Diffusion Memristive Neural Networks Via Event-Based Hybrid Impulsive Controller
This article explores the asymptotic stability of fractional delayed memristive neural networks with reaction-diffusion terms. A novel hybrid...
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A τ-preconditioner for a non-symmetric linear system arising from multi-dimensional Riemann-Liouville fractional diffusion equation
In this paper, we study a τ -preconditioner for non-symmetric linear system arising from a steady-state multi-dimensional Riemann-Liouville (RL)...
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The meshless approach for solving 2D variable-order time-fractional advection–diffusion equation arising in anomalous transport
In this paper, with the aim of extending an elegant and straightforward numerical approximation to describe one of the most common physical phenomena...
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Strong 1.5 order scheme for fractional Langevin equation based on spectral approximation of white noise
A full-discrete scheme is presented for a Langevin equation involving Caputo fractional derivative and additive white noise. Based on a spectral...
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Existence and Uniqueness of Time-Fractional Diffusion Equation on a Metric Star Graph
In this paper, we study the time-fractional diffusion equation on a metric star graph. The existence and uniqueness of the weak solution are...
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A comparative study on interior penalty discontinuous Galerkin and enriched Galerkin methods for time-fractional Sobolev equation
This study documents the development of a novel scheme for spatial discretization of the time-fractional Sobolev equation. The scheme is based on a...
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Numerical stability analysis of spatial-temporal fully discrete scheme for time-fractional delay Schrödinger equations
We consider the numerical stability problem for fractional delay Schrödinger equations involving a Caputo fractional derivative in time, which is...
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Unconditionally convergent and superconvergent finite element method for nonlinear time-fractional parabolic equations with distributed delay
In this paper, we propose an efficient Newton linearized numerical method for the nonlinear time-fractional parabolic equations with distributed...
