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Several effective algorithms for nonlinear time fractional models (Q2286122)

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Language	Label	Description	Also known as
English	Several effective algorithms for nonlinear time fractional models	scientific article

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scholarly article

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Several effective algorithms for nonlinear time fractional models (English)

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Applied Mathematics and Computation

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publication date

9 January 2020

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zbMATH Keywords

effective algorithms

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numerical simulation

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computational cost

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real-world models

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1016/j.amc.2019.124598

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Fractional dynamics of computer virus propagation

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Nonoscillation Theory of Functional Differential Equations with Applications

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Unconditionally optimal error estimates of a linearized Galerkin method for nonlinear time fractional reaction-subdiffusion equations

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A two-level linearized compact ADI scheme for two-dimensional nonlinear reaction-diffusion equations

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A compact finite difference scheme for the fractional sub-diffusion equations

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An Explicit Finite Difference Method and a New von Neumann-Type Stability Analysis for Fractional Diffusion Equations

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A Fourier method for the fractional diffusion equation describing sub-diffusion

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Finite difference methods and a Fourier analysis for the fractional reaction-subdiffusion equation

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The accuracy and stability of an implicit solution method for the fractional diffusion equation

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The implicit midpoint method for the modified anomalous sub-diffusion equation with a nonlinear source term

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High order schemes for the tempered fractional diffusion equations

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Unconditionally Convergent $L1$-Galerkin FEMs for Nonlinear Time-Fractional Schrödinger Equations

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Stability and convergence of modified Du Fort-Frankel schemes for solving time-fractional subdiffusion equations

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The solvability of coupling the thermal effect and magnetohydrodynamics field with turbulent convection zone and the flow field

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Numerical Analysis of Nonlinear Subdiffusion Equations

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The Use of Finite Difference/Element Approaches for Solving the Time-Fractional Subdiffusion Equation

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A Weak Galerkin Finite Element Method for Multi-Term Time-Fractional Diffusion Equations

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A novel compact ADI scheme for two-dimensional Riesz space fractional nonlinear reaction-diffusion equations

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Uniform convergence of compact and BDF methods for the space fractional semilinear delay reaction-diffusion equations

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Analysis of the compact difference scheme for the semilinear fractional partial differential equation with time delay

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Numerical solution to a linearized time fractional KdV equation on unbounded domains

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A new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applications

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A new difference scheme for the time fractional diffusion equation

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Compact finite difference method for the fractional diffusion equation

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Stability and convergence of finite difference schemes for a class of time-fractional sub-diffusion equations based on certain superconvergence

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Linearized compact ADI schemes for nonlinear time-fractional Schrödinger equations

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Two Fully Discrete Schemes for Fractional Diffusion and Diffusion-Wave Equations with Nonsmooth Data

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Error Estimates for a Semidiscrete Finite Element Method for Fractional Order Parabolic Equations

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Finite difference/spectral approximations for the time-fractional diffusion equation

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Maximum norm error bounds of ADI and compact ADI methods for solving parabolic equations

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A fully discrete difference scheme for a diffusion-wave system

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Split Newton iterative algorithm and its application

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Long time behavior of solutions of gKdV equations

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Analysis of L1-Galerkin FEMs for Time-Fractional Nonlinear Parabolic Problems

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Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations

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Spectral approximation of the free-space heat kernel

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A fast algorithm for the evaluation of heat potentials

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Efficient sum-of-exponentials approximations for the heat kernel and their applications

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Fast Summation by Interval Clustering for an Evolution Equation with Memory

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Exponential Sum Approximations for t−β

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A Fast Algorithm for the Caputo Fractional Derivative

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Fast Finite Difference Schemes for Time-Fractional Diffusion Equations with a Weak Singularity at Initial Time

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Efficient implementation to numerically solve the nonlinear time fractional parabolic problems on unbounded spatial domain

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Unconditional convergence of a fast two-level linearized algorithm for semilinear subdiffusion equations

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Linearized Galerkin FEMs for nonlinear time fractional parabolic problems with non-smooth solutions in time direction

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Sharp Error Estimate of the Nonuniform L1 Formula for Linear Reaction-Subdiffusion Equations

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A Discrete Grönwall Inequality with Applications to Numerical Schemes for Subdiffusion Problems

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An analysis of the L1 scheme for the subdiffusion equation with nonsmooth data

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Correction of High-Order BDF Convolution Quadrature for Fractional Evolution Equations

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.AMC.2019.124598

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Sitelinks

Mathematics(1 entry)

mardi Publication:2286122

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