Solutions of Time-Fractional Diffusion Equation with Reflecting and Absorbing Boundary Conditions Using Matlab

Mathematical and Computational Approaches in Advancing Modern Science and Engineering ◽

10.1007/978-3-319-30379-6_2 ◽

2016 ◽

pp. 15-25 ◽

Author(s):

Iftikhar Ali ◽

Nadeem A. Malik ◽

Bilal Chanane

Keyword(s):

Diffusion Equation ◽

Boundary Conditions ◽

Fractional Diffusion ◽

Absorbing Boundary Conditions ◽

Fractional Diffusion Equation ◽

Absorbing Boundary ◽

Time Fractional Diffusion Equation

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An inverse source problem for a two dimensional time fractional diffusion equation with nonlocal boundary conditions

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.2661 ◽

2012 ◽

Vol 36 (9) ◽

pp. 1056-1069 ◽

Author(s):

Mokhtar Kirane ◽

Salman A. Malik ◽

Mohammed A. Al-Gwaiz

Keyword(s):

Diffusion Equation ◽

Boundary Conditions ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Inverse Source Problem ◽

Two Dimensional ◽

Time Fractional Diffusion Equation

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A Compact Difference Scheme for Time Fractional Diffusion Equation with Neumann Boundary Conditions

AsiaSim 2012 - Communications in Computer and Information Science ◽

10.1007/978-3-642-34384-1_33 ◽

2012 ◽

pp. 273-284 ◽

Author(s):

Jianfei Huang ◽

Yifa Tang ◽

Wenjia Wang ◽

Jiye Yang

Keyword(s):

Diffusion Equation ◽

Boundary Conditions ◽

Difference Scheme ◽

Neumann Boundary ◽

Fractional Diffusion ◽

Neumann Boundary Conditions ◽

Fractional Diffusion Equation ◽

Compact Difference Scheme ◽

Compact Difference ◽

Time Fractional Diffusion Equation

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Uniqueness for an inverse coefficient problem for a one-dimensional time-fractional diffusion equation with non-zero boundary conditions

Applicable Analysis ◽

10.1080/00036811.2021.1965583 ◽

2021 ◽

pp. 1-15

Author(s):

William Rundell ◽

Masahiro Yamamoto

Keyword(s):

Diffusion Equation ◽

Boundary Conditions ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Coefficient Problem ◽

Inverse Coefficient Problem ◽

One Dimensional ◽

Time Fractional Diffusion Equation ◽

Inverse Coefficient

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Inverse problem for a multi-parameters space-time fractional diffusion equation with nonlocal boundary conditions: operational calculus approach

Journal of Pseudo-Differential Operators and Applications ◽

10.1007/s11868-021-00434-7 ◽

2021 ◽

Vol 13 (1) ◽

Author(s):

Muhammad Ali ◽

Sara Aziz ◽

Salman A. Malik

Keyword(s):

Inverse Problem ◽

Diffusion Equation ◽

Boundary Conditions ◽

Nonlocal Boundary ◽

Operational Calculus ◽

Nonlocal Boundary Conditions ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Fractional Diffusion Equation

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Inverse source problem for a time-fractional diffusion equation with nonlocal boundary conditions

Applied Mathematical Modelling ◽

10.1016/j.apm.2015.12.020 ◽

2016 ◽

Vol 40 (7-8) ◽

pp. 4891-4899 ◽

Author(s):

Mansur I. Ismailov ◽

Muhammed Çiçek

Keyword(s):

Diffusion Equation ◽

Boundary Conditions ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Inverse Source Problem ◽

Time Fractional Diffusion Equation

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Blow-up solutions of a time-fractional diffusion equation with variable exponents

Tbilisi Mathematical Journal ◽

10.32513/tbilisi/1578020574 ◽

2019 ◽

Vol 12 (4) ◽

pp. 149-157

Author(s):

J. Manimaran ◽

L. Shangerganesh

Keyword(s):

Diffusion Equation ◽

Blow Up ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Variable Exponents ◽

Time Fractional Diffusion Equation

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On inverse source problem for time fractional diffusion equation on simple metric graph

Uzbek Mathematical Journal ◽

10.29229/uzmj.2020-2-10 ◽

2020 ◽

Vol 2020 (2) ◽

pp. 99-108

Author(s):

J.R. Khujakulov

Keyword(s):

Diffusion Equation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Inverse Source Problem ◽

Metric Graph ◽

Time Fractional Diffusion Equation

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An Error Estimate of a Numerical Approximation to a Hidden-Memory Variable-Order Space-Time Fractional Diffusion Equation

SIAM Journal on Numerical Analysis ◽

10.1137/20m132420x ◽

2020 ◽

Vol 58 (5) ◽

pp. 2492-2514

Author(s):

Xiangcheng Zheng ◽

Hong Wang

Keyword(s):

Diffusion Equation ◽

Error Estimate ◽

Numerical Approximation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Variable Order ◽

Time Fractional Diffusion Equation

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Numerical investigation of the two-dimensional space-time fractional diffusion equation in porous media

Mathematical Sciences ◽

10.1007/s40096-020-00364-3 ◽

2021 ◽

Author(s):

B. Farnam ◽

Y. Esmaeelzade Aghdam ◽

O. Nikan

Keyword(s):

Porous Media ◽

Diffusion Equation ◽

Numerical Investigation ◽

Dimensional Space ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Two Dimensional ◽

Dimensional Space Time ◽

Time Fractional Diffusion Equation

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Homotopy perturbation method to time-fractional diffusion equation with a moving boundary condition

Applied Mathematics and Computation ◽

10.1016/j.amc.2008.12.023 ◽

2009 ◽

Vol 208 (2) ◽

pp. 434-439 ◽

Author(s):

Xicheng Li ◽

Mingyu Xu ◽

Xiaoyun Jiang

Keyword(s):

Boundary Condition ◽

Diffusion Equation ◽

Perturbation Method ◽

Homotopy Perturbation Method ◽

Moving Boundary ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Homotopy Perturbation ◽

Moving Boundary Condition ◽

Time Fractional Diffusion Equation

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