Novel superconvergence analysis of anisotropic triangular FEM for a multi‐term time‐fractional mixed sub‐diffusion and diffusion‐wave equation with variable coefficients

Numerical Methods for Partial Differential Equations ◽

10.1002/num.22838 ◽

2021 ◽

Author(s):

Yanhua Shi ◽

Yanmin Zhao ◽

Fenling Wang ◽

Fawang Liu

Keyword(s):

Wave Equation ◽

Variable Coefficients ◽

Diffusion Wave ◽

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A unified numerical scheme for the multi-term time fractional diffusion and diffusion-wave equations with variable coefficients

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2017.09.011 ◽

2018 ◽

Vol 330 ◽

pp. 380-397 ◽

Author(s):

Hu Chen ◽

Shujuan Lü ◽

Wenping Chen

Keyword(s):

Numerical Scheme ◽

Wave Equations ◽

Fractional Diffusion ◽

Variable Coefficients ◽

Diffusion Wave ◽

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The analytical solution and numerical solutions for a two-dimensional multi-term time fractional diffusion and diffusion-wave equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2018.05.020 ◽

2019 ◽

Vol 345 ◽

pp. 515-534 ◽

Author(s):

Shujun Shen ◽

Fawang Liu ◽

Vo V. Anh

Keyword(s):

Wave Equation ◽

Analytical Solution ◽

Numerical Solutions ◽

Fractional Diffusion ◽

Two Dimensional ◽

Diffusion Wave ◽

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A Superconvergent Nonconforming Mixed FEM for Multi-Term Time-Fractional Mixed Diffusion and Diffusion-Wave Equations with Variable Coefficients

East Asian Journal on Applied Mathematics ◽

10.4208/eajam.180420.200720 ◽

2021 ◽

Vol 11 (1) ◽

pp. 63-92

Author(s):

Huijun Fan

Keyword(s):

Wave Equations ◽

Variable Coefficients ◽

Diffusion Wave ◽

Mixed Fem ◽

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NEW EXISTENCE, UNIQUENESS RESULTS FOR MULTI-DIMENSIONAL MULTI-TERM CAPUTO TIME-FRACTIONAL MIXED SUB-DIFFUSION AND DIFFUSION-WAVE EQUATION ON CONVEX DOMAINS

Journal of Applied Analysis & Computation ◽

10.11948/20200217 ◽

2021 ◽

Vol 11 (3) ◽

pp. 1455-1480

Author(s):

Pratibha Verma ◽

◽

Manoj Kumar

Keyword(s):

Wave Equation ◽

Convex Domains ◽

Diffusion Wave ◽

Uniqueness Results ◽

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Spectral method for the fractional diffusion-wave equation with variable coefficients

2017 29th Chinese Control And Decision Conference (CCDC) ◽

10.1109/ccdc.2017.7978614 ◽

2017 ◽

Author(s):

Wenping Chen ◽

Shujuan Lu ◽

Hu Chen ◽

Haiyu Liu

Keyword(s):

Wave Equation ◽

Spectral Method ◽

Fractional Diffusion ◽

Variable Coefficients ◽

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Analytical solution to a diffusion wave equation with variable coefficients for overland flow

Journal of Hydrology ◽

10.1016/j.jhydrol.2019.123925 ◽

2019 ◽

Vol 577 ◽

pp. 123925

Author(s):

Ping-Cheng Hsieh ◽

Ding-You Wang ◽

Ming-Chang Wu

Keyword(s):

Wave Equation ◽

Analytical Solution ◽

Overland Flow ◽

Variable Coefficients ◽

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A numerical treatment of the two-dimensional multi-term time-fractional mixed sub-diffusion and diffusion-wave equation

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2020.105445 ◽

2020 ◽

Vol 91 ◽

pp. 105445

Author(s):

S.S. Ezz-Eldien ◽

E.H. Doha ◽

Y. Wang ◽

W. Cai

Keyword(s):

Wave Equation ◽

Two Dimensional ◽

Numerical Treatment ◽

Diffusion Wave ◽

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Finite difference/finite element method for a novel 2D multi-term time-fractional mixed sub-diffusion and diffusion-wave equation on convex domains

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2018.10.016 ◽

2019 ◽

Vol 70 ◽

pp. 354-371 ◽

Author(s):

Libo Feng ◽

Fawang Liu ◽

Ian Turner

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Wave Equation ◽

Finite Difference ◽

Convex Domains ◽

Diffusion Wave ◽

And Diffusion ◽

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Fully discrete spectral method for solving a novel multi-term time-fractional mixed diffusion and diffusion-wave equation

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-019-1244-6 ◽

2020 ◽

Vol 71 (1) ◽

Author(s):

Yanqin Liu ◽

HongGuang Sun ◽

Xiuling Yin ◽

Libo Feng

Keyword(s):

Wave Equation ◽

Spectral Method ◽

Diffusion Wave ◽

Fully Discrete ◽

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High‐order compact finite difference method for the multi‐term time fractional mixed diffusion and diffusion‐wave equation

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7207 ◽

2021 ◽

Author(s):

Bo Yu

Keyword(s):

Wave Equation ◽

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Diffusion Wave ◽

Compact Finite Difference ◽

Compact Finite Difference Method ◽

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