Analytical solutions of the space–time fractional Telegraph and advection–diffusion equations

Physica A Statistical Mechanics and its Applications ◽

10.1016/j.physa.2017.09.105 ◽

2018 ◽

Vol 491 ◽

pp. 810-819 ◽

Cited By ~ 6

Author(s):

Ashraf M. Tawfik ◽

Horst Fichtner ◽

Reinhard Schlickeiser ◽

A. Elhanbaly

Keyword(s):

Analytical Solutions ◽

Space Time ◽

Diffusion Equations ◽

Advection Diffusion

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A space-time backward substitution method for three-dimensional advection-diffusion equations

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2021.05.025 ◽

2021 ◽

Vol 97 ◽

pp. 77-85

Author(s):

HongGuang Sun ◽

Yi Xu ◽

Ji Lin ◽

Yuhui Zhang

Keyword(s):

Three Dimensional ◽

Space Time ◽

Diffusion Equations ◽

Substitution Method ◽

Advection Diffusion

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Space‐time finite element adaptive AMG for multi‐term time fractional advection diffusion equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5876 ◽

2019 ◽

Cited By ~ 1

Author(s):

Xiaoqiang Yue ◽

Menghuan Liu ◽

Shi Shu ◽

Weiping Bu ◽

Yehong Xu

Keyword(s):

Finite Element ◽

Space Time ◽

Diffusion Equations ◽

Advection Diffusion

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Analytical solutions for the multi-term time–space Caputo–Riesz fractional advection–diffusion equations on a finite domain

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2011.12.055 ◽

2012 ◽

Vol 389 (2) ◽

pp. 1117-1127 ◽

Cited By ~ 117

Author(s):

H. Jiang ◽

F. Liu ◽

I. Turner ◽

K. Burrage

Keyword(s):

Analytical Solutions ◽

Diffusion Equations ◽

Finite Domain ◽

Advection Diffusion ◽

Time Space

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A space-time least-square finite element scheme for advection-diffusion equations

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/0045-7825(84)90012-4 ◽

1984 ◽

Vol 42 (3) ◽

pp. 331-342 ◽

Cited By ~ 65

Author(s):

H. Nguyen ◽

J. Reynen

Keyword(s):

Finite Element ◽

Space Time ◽

Least Square ◽

Diffusion Equations ◽

Finite Element Scheme ◽

Element Scheme ◽

Advection Diffusion

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Analytical Solutions for Advection and Advection-Diffusion Equations with Spatially Variable Coefficients

Journal of Hydraulic Engineering ◽

10.1061/(asce)0733-9429(1997)123:2(144) ◽

1997 ◽

Vol 123 (2) ◽

pp. 144-148 ◽

Cited By ~ 66

Author(s):

C. Zoppou ◽

J. H. Knight

Keyword(s):

Analytical Solutions ◽

Variable Coefficients ◽

Diffusion Equations ◽

Advection Diffusion

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Preconditioned iterative methods for space-time fractional advection-diffusion equations

Journal of Computational Physics ◽

10.1016/j.jcp.2016.05.021 ◽

2016 ◽

Vol 319 ◽

pp. 266-279 ◽

Cited By ~ 16

Author(s):

Zhi Zhao ◽

Xiao-Qing Jin ◽

Matthew M. Lin

Keyword(s):

Iterative Methods ◽

Space Time ◽

Diffusion Equations ◽

Advection Diffusion ◽

Preconditioned Iterative ◽

Preconditioned Iterative Methods

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Curved fronts of monostable reaction-advection-diffusion equations in space-time periodic media

Communications on Pure and Applied Analysis ◽

10.3934/cpaa.2016.15.139 ◽

2015 ◽

Vol 15 (1) ◽

pp. 139-160 ◽

Cited By ~ 12

Author(s):

Zhen-Hui Bu ◽

Zhi-Cheng Wang

Keyword(s):

Space Time ◽

Diffusion Equations ◽

Periodic Media ◽

Advection Diffusion ◽

Time Periodic

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Semi-analytical solutions to one-dimensional advection–diffusion equations with variable diffusion coefficient and variable flow velocity

Applied Mathematics and Computation ◽

10.1016/j.amc.2013.06.052 ◽

2013 ◽

Vol 221 ◽

pp. 268-281 ◽

Cited By ~ 10

Author(s):

Xinfeng Jia ◽

Fanhua Zeng ◽

Yongan Gu

Keyword(s):

Diffusion Coefficient ◽

Flow Velocity ◽

Analytical Solutions ◽

Diffusion Equations ◽

Variable Flow ◽

One Dimensional ◽

Variable Diffusion Coefficient ◽

Advection Diffusion ◽

Variable Diffusion

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Analytical solutions for the multi-term time–space fractional advection–diffusion equations with mixed boundary conditions

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2012.08.014 ◽

2013 ◽

Vol 14 (2) ◽

pp. 1026-1033 ◽

Cited By ~ 38

Author(s):

Xiao-Li Ding ◽

Yao-Lin Jiang

Keyword(s):

Boundary Conditions ◽

Analytical Solutions ◽

Mixed Boundary ◽

Mixed Boundary Conditions ◽

Diffusion Equations ◽

Advection Diffusion ◽

Time Space

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Fast algorithms for high-dimensional variable-order space-time fractional diffusion equations

Computational and Applied Mathematics ◽

10.1007/s40314-021-01496-5 ◽

2021 ◽

Vol 40 (4) ◽

Author(s):

Lei Zhang ◽

Guo-Feng Zhang

Keyword(s):

Fast Algorithms ◽

Fractional Diffusion ◽

Space Time ◽

Diffusion Equations ◽

High Dimensional ◽

Variable Order ◽

Fractional Diffusion Equations ◽

Dimensional Variable

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