Asymptotic behavior of the solution of a diffusion equation with nonlocal boundary conditions

Discrete & Continuous Dynamical Systems - B ◽

10.3934/dcdsb.2017019 ◽

2017 ◽

Vol 22 (2) ◽

pp. 407-419

Author(s):

Bhargav Kumar Kakumani ◽

◽

Suman Kumar Tumuluri

Keyword(s):

Asymptotic Behavior ◽

Diffusion Equation ◽

Boundary Conditions ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions

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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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Compact finite difference schemes for the time fractional diffusion equation with nonlocal boundary conditions

Computational and Applied Mathematics ◽

10.1007/s40314-017-0553-7 ◽

2017 ◽

Vol 37 (3) ◽

pp. 3906-3926 ◽

Author(s):

Mingrong Cui

Keyword(s):

Finite Difference ◽

Diffusion Equation ◽

Boundary Conditions ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Fractional Diffusion ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Compact Finite Difference ◽

Time Fractional Diffusion Equation

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Convergence analysis of compact difference schemes for diffusion equation with nonlocal boundary conditions

Applied Mathematics and Computation ◽

10.1016/j.amc.2015.03.039 ◽

2015 ◽

Vol 260 ◽

pp. 227-241 ◽

Author(s):

Ming Rong Cui

Keyword(s):

Diffusion Equation ◽

Boundary Conditions ◽

Convergence Analysis ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Difference Schemes ◽

Compact Difference Schemes ◽

Compact Difference

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Asymptotic behavior of solutions of reaction-diffusion equations with nonlocal boundary conditions

Journal of Computational and Applied Mathematics ◽

10.1016/s0377-0427(97)00215-x ◽

1998 ◽

Vol 88 (1) ◽

pp. 225-238 ◽

Author(s):

C.V. Pao

Keyword(s):

Asymptotic Behavior ◽

Boundary Conditions ◽

Nonlocal Boundary ◽

Reaction Diffusion ◽

Nonlocal Boundary Conditions ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Asymptotic Behavior Of Solutions

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A tau method approach for the diffusion equation with nonlocal boundary conditions

International Journal of Computer Mathematics ◽

10.1080/00207160412331284060 ◽

2004 ◽

Vol 81 (11) ◽

pp. 1427-1432 ◽

Author(s):

A. Saadatmandi ◽

M. Razzaghi

Keyword(s):

Diffusion Equation ◽

Boundary Conditions ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Method Approach

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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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An inverse source problem for a two parameter anomalous diffusion equation with nonlocal boundary conditions

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2017.03.019 ◽

2017 ◽

Vol 73 (12) ◽

pp. 2548-2560 ◽

Author(s):

Salman A. Malik ◽

Sara Aziz

Keyword(s):

Diffusion Equation ◽

Boundary Conditions ◽

Anomalous Diffusion ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Inverse Source Problem ◽

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Analytical Technique for (2+1) Fractional Diffusion Equation with Nonlocal Boundary Conditions

Open Journal of Mathematical Sciences ◽

10.30538/oms2018.0035 ◽

2018 ◽

Vol 2(2018) (1) ◽

pp. 287-300 ◽

Author(s):

Rahmatullah Ibrahim Nuruddeen ◽

◽

Bashir Danladi Garba ◽

Keyword(s):

Diffusion Equation ◽

Boundary Conditions ◽

Nonlocal Boundary ◽

Nonlocal Boundary Conditions ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Analytical Technique

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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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A survey on stationary problems, Green’s functions and spectrum of Sturm–Liouville problem with nonlocal boundary conditions

Nonlinear Analysis Modelling and Control ◽

10.15388/na.2014.3.1 ◽

2014 ◽

Vol 19 (3) ◽

pp. 301-334 ◽

Author(s):

Artūras Štikonas ◽

Keyword(s):

Boundary Conditions ◽

Green's Functions ◽

Green’S Functions ◽

Nonlocal Boundary ◽

Liouville Problem ◽

Nonlocal Boundary Conditions ◽

Sturm Liouville ◽

Stationary Problems

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