Application of He’s Variational Iteration Method for the Analytical Solution of Space Fractional Diffusion Equation

Applied Mathematics ◽

10.4236/am.2011.29150 ◽

2011 ◽

Vol 02 (09) ◽

pp. 1091-1095

Author(s):

Mehdi Safari

Keyword(s):

Analytical Solution ◽

Diffusion Equation ◽

Iteration Method ◽

Variational Iteration Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Variational Iteration ◽

Space Fractional Diffusion Equation ◽

He’S Variational Iteration Method

Download Full-text

Analytical solution of a fractional diffusion equation by variational iteration method

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2008.09.045 ◽

2009 ◽

Vol 57 (3) ◽

pp. 483-487 ◽

Author(s):

S. Das

Keyword(s):

Analytical Solution ◽

Diffusion Equation ◽

Iteration Method ◽

Variational Iteration Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Variational Iteration

Download Full-text

Application of He’s variational iteration method for solving the reaction–diffusion equation with ecological parameters

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2006.12.069 ◽

2007 ◽

Vol 54 (7-8) ◽

pp. 1010-1017 ◽

Author(s):

D.D. Ganji ◽

G.A. Afrouzi ◽

R.A. Talarposhti

Keyword(s):

Diffusion Equation ◽

Iteration Method ◽

Reaction Diffusion ◽

Variational Iteration Method ◽

Reaction Diffusion Equation ◽

Variational Iteration ◽

Ecological Parameters ◽

He’S Variational Iteration Method

Download Full-text

Application of modified decomposition method for the analytical solution of space fractional diffusion equation

Applied Mathematics and Computation ◽

10.1016/j.amc.2007.05.048 ◽

2008 ◽

Vol 196 (1) ◽

pp. 294-302 ◽

Author(s):

S. Saha Ray ◽

K.S. Chaudhuri ◽

R.K. Bera

Keyword(s):

Analytical Solution ◽

Diffusion Equation ◽

Decomposition Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Space Fractional Diffusion Equation

Download Full-text

Analytical Solution of Two Extended Model Equations for Shallow Water Waves by He’s Variational Iteration Method

American Journal of Computational Mathematics ◽

10.4236/ajcm.2011.14027 ◽

2011 ◽

Vol 01 (04) ◽

pp. 235-239 ◽

Author(s):

Mehdi Safari ◽

Majid Safari

Keyword(s):

Analytical Solution ◽

Shallow Water ◽

Water Waves ◽

Iteration Method ◽

Variational Iteration Method ◽

Extended Model ◽

Shallow Water Waves ◽

Variational Iteration ◽

Model Equations ◽

He’S Variational Iteration Method

Download Full-text

Application of Adomian’s Decomposition Method for the Analytical Solution of Space Fractional Diffusion Equation

Advances in Pure Mathematics ◽

10.4236/apm.2011.16062 ◽

2011 ◽

Vol 01 (06) ◽

pp. 345-350 ◽

Author(s):

Mohammad Danesh ◽

Mehdi Safari

Keyword(s):

Analytical Solution ◽

Diffusion Equation ◽

Decomposition Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Adomian’S Decomposition Method ◽

Space Fractional Diffusion Equation

Download Full-text

Analytical solution for the space fractional diffusion equation by two-step Adomian Decomposition Method

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2008.01.010 ◽

2009 ◽

Vol 14 (4) ◽

pp. 1295-1306 ◽

Author(s):

Santanu Saha Ray

Keyword(s):

Analytical Solution ◽

Diffusion Equation ◽

Decomposition Method ◽

Adomian Decomposition Method ◽

Fractional Diffusion ◽

Fractional Diffusion Equation ◽

Adomian Decomposition ◽

Space Fractional Diffusion Equation

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text