Numerical solution of space fractional diffusion equation by the method of lines and splines

Applied Mathematics and Computation ◽

10.1016/j.amc.2018.04.053 ◽

2018 ◽

Vol 336 ◽

pp. 465-480 ◽

Author(s):

Younes Salehi ◽

Mohammad T. Darvishi ◽

William E. Schiesser

Keyword(s):

Diffusion Equation ◽

Numerical Solution ◽

Method Of Lines ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

The Method Of Lines ◽

Space Fractional Diffusion Equation

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Numerical solution for the linear time and space fractional diffusion equation

Journal of Vibration and Control ◽

10.1177/1077546313500687 ◽

2013 ◽

Vol 21 (9) ◽

pp. 1769-1777 ◽

Author(s):

Talaat S El Danaf

Keyword(s):

Diffusion Equation ◽

Numerical Solution ◽

Linear Time ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time And Space ◽

Space Fractional Diffusion Equation

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Numerical solution of space fractional diffusion equation by spline method combined with Richardson extrapolation

Computational and Applied Mathematics ◽

10.1007/s40314-020-01160-4 ◽

2020 ◽

Vol 39 (2) ◽

Author(s):

Z. Soori ◽

A. Aminataei

Keyword(s):

Diffusion Equation ◽

Numerical Solution ◽

Fractional Diffusion ◽

Richardson Extrapolation ◽

Fractional Diffusion Equation ◽

Spline Method ◽

Space Fractional Diffusion Equation

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Correction to: Numerical solution of space fractional diffusion equation by spline method combined with Richardson extrapolation

Computational and Applied Mathematics ◽

10.1007/s40314-020-01192-w ◽

2020 ◽

Vol 39 (3) ◽

Author(s):

Z. Soori ◽

A. Aminataei

Keyword(s):

Diffusion Equation ◽

Numerical Solution ◽

Fractional Diffusion ◽

Richardson Extrapolation ◽

Fractional Diffusion Equation ◽

Spline Method ◽

Space Fractional Diffusion Equation

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On the recovery of a time dependent diffusion coefficient for a space fractional diffusion equation

Analysis and Mathematical Physics ◽

10.1007/s13324-021-00537-w ◽

2021 ◽

Vol 11 (3) ◽

Author(s):

Muhammad Ali ◽

Sara Aziz ◽

Salman A. Malik

Keyword(s):

Diffusion Coefficient ◽

Diffusion Equation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Dependent ◽

Space Fractional Diffusion Equation

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Determination of Initial Distribution for a Space-Fractional Diffusion Equation with Time-Dependent Diffusivity

Bulletin of the Malaysian Mathematical Sciences Society ◽

10.1007/s40840-021-01118-7 ◽

2021 ◽

Author(s):

Tran Nhat Luan ◽

Tra Quoc Khanh

Keyword(s):

Diffusion Equation ◽

Initial Distribution ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Dependent ◽

Space Fractional Diffusion Equation

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Space-Fractional Diffusion Equation with Variable Coefficients: Well-posedness and Fourier Pseudospectral Approximation

Journal of Scientific Computing ◽

10.1007/s10915-021-01435-w ◽

2021 ◽

Vol 87 (1) ◽

Author(s):

Xue-Yang Li ◽

Ai-Guo Xiao

Keyword(s):

Diffusion Equation ◽

Fractional Diffusion ◽

Variable Coefficients ◽

Fractional Diffusion Equation ◽

Well Posedness ◽

Space Fractional Diffusion Equation ◽

Fourier Pseudospectral

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The operational matrix formulation of the Jacobi tau approximation for space fractional diffusion equation

Advances in Difference Equations ◽

10.1186/1687-1847-2014-231 ◽

2014 ◽

Vol 2014 (1) ◽

pp. 231 ◽

Author(s):

Eid H Doha ◽

Ali H Bhrawy ◽

Dumitru Baleanu ◽

Samer S Ezz-Eldien

Keyword(s):

Diffusion Equation ◽

Operational Matrix ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Matrix Formulation ◽

Space Fractional Diffusion Equation

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The method of fundamental solution for the inverse source problem for the space-fractional diffusion equation

Inverse Problems in Science and Engineering ◽

10.1080/17415977.2017.1369537 ◽

2017 ◽

Vol 26 (7) ◽

pp. 925-941

Author(s):

Jin Wen ◽

Jun-Feng Cheng

Keyword(s):

Fundamental Solution ◽

Diffusion Equation ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Inverse Source Problem ◽

Space Fractional Diffusion Equation

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Numerical Solution to the Space-Time Fractional Diffusion Equation and Inversion for the Space-Dependent Diffusion Coefficient

Journal of Computational and Theoretical Transport ◽

10.1080/23324309.2016.1263667 ◽

2016 ◽

Vol 46 (2) ◽

pp. 122-146 ◽

Author(s):

Guangsheng Chi ◽

Gongsheng Li ◽

Chunlong Sun ◽

Xianzheng Jia

Keyword(s):

Diffusion Coefficient ◽

Diffusion Equation ◽

Numerical Solution ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Fractional Diffusion Equation ◽

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Pseudospectral operational matrix for numerical solution of single and multiterm time fractional diffusion equation

TURKISH JOURNAL OF MATHEMATICS ◽

10.3906/mat-1508-3 ◽

2016 ◽

Vol 40 ◽

pp. 1118-1133 ◽

Author(s):

Saeid GHOLAMI ◽

Esmail BABOLIAN ◽

Mohammad JAVIDI

Keyword(s):

Diffusion Equation ◽

Numerical Solution ◽

Operational Matrix ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Time Fractional Diffusion Equation

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