A class of efficient time-stepping methods for multi-term time-fractional reaction-diffusion-wave equations (Q2029109)

scientific article; zbMATH DE number 7354378

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English	A class of efficient time-stepping methods for multi-term time-fractional reaction-diffusion-wave equations	scientific article; zbMATH DE number 7354378

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instance of

scholarly article

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title

A class of efficient time-stepping methods for multi-term time-fractional reaction-diffusion-wave equations (English)

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Applied Numerical Mathematics

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publication date

3 June 2021

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zbMATH Keywords

fractional reaction-diffusion-wave equation

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shifted convolution quadrature

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fast algorithm

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correction terms

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time-stepping methods

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1016/j.apnum.2021.02.007

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cites work

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An accurate and efficient algorithm for the time-fractional molecular beam epitaxy model with slope selection

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Novel numerical analysis of multi-term time fractional viscoelastic non-Newtonian fluid models for simulating unsteady MHD Couette flow of a generalized Oldroyd-B fluid

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Stability of a numerical method for a space-time-fractional telegraph 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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Efficient Multistep Methods for Tempered Fractional Calculus: Algorithms and Simulations

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High-Order Approximation to Caputo Derivatives and Caputo-type Advection–Diffusion Equations: Revisited

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Some second-order \(\theta\) schemes combined with finite element method for nonlinear fractional cable equation

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Fast and Oblivious Convolution Quadrature

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An unstructured mesh finite element method for solving the multi-term time fractional and Riesz space distributed-order wave equation on an irregular convex domain

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Too much regularity may force too much uniqueness

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Galerkin finite element methods for parabolic problems

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A class of second order difference approximations for solving space fractional diffusion equations

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Optimizing Talbot’s Contours for the Inversion of the Laplace Transform

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A class of shifted high-order numerical methods for the fractional mobile/immobile transport equations

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Necessity of introducing non-integer shifted parameters by constructing high accuracy finite difference algorithms for a two-sided space-fractional advection-diffusion model

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Finite element methods based on two families of second-order numerical formulas for the fractional cable model with smooth solutions

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A structure preserving difference scheme with fast algorithms for high dimensional nonlinear space-fractional Schrödinger equations

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

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A stable fast time-stepping method for fractional integral and derivative operators

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Identifiers

zbMATH Open document ID

1475.65136

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Mathematics Subject Classification ID

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10.1016/J.APNUM.2021.02.007

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Sitelinks

Mathematics(1 entry)

mardi Publication:2029109