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Pseudo-Spectral Method for Space Fractional Diffusion Equation
(Articles)
Yiting Huang
,
Minling Zheng
Applied Mathematics
Vol.4 No.11
,November 5, 2013
DOI:
10.4236/am.2013.411202
3,817
Downloads
6,415
Views
Citations
ADI Finite Element Method for 2D Nonlinear Time Fractional Reaction-Subdiffusion Equation
(Articles)
Peng Zhu
,
Shenglan Xie
American Journal of Computational Mathematics
Vol.6 No.4
,December 21, 2016
DOI:
10.4236/ajcm.2016.64034
1,962
Downloads
3,660
Views
Citations
Chebyshev Pseudo-Spectral Method for Solving Fractional Advection-Dispersion Equation
(Articles)
N. H. Sweilam
,
M. M. Khader
,
M. Adel
Applied Mathematics
Vol.5 No.19
,November 18, 2014
DOI:
10.4236/am.2014.519301
5,012
Downloads
6,364
Views
Citations
This article belongs to the Special Issue on
Numerical Analysis
Application of the Improved Kudryashov Method to Solve the Fractional Nonlinear Partial Differential Equations
(Articles)
Md. Abdus Salam
,
Umme Habiba
Journal of Applied Mathematics and Physics
Vol.7 No.4
,April 24, 2019
DOI:
10.4236/jamp.2019.74061
1,026
Downloads
2,384
Views
Citations
Lagrange’s Spectral Collocation Method for Numerical Approximations of Two-Dimensional Space Fractional Diffusion Equation
(Articles)
Hasib Uddin Molla
,
Mushfika Hossain Nova
American Journal of Computational Mathematics
Vol.8 No.2
,June 13, 2018
DOI:
10.4236/ajcm.2018.82010
1,091
Downloads
2,448
Views
Citations
Solving a Nonlinear Multi-Order Fractional Differential Equation Using Legendre Pseudo-Spectral Method
(Articles)
Yin Yang
Applied Mathematics
Vol.4 No.1
,January 28, 2013
DOI:
10.4236/am.2013.41020
8,081
Downloads
12,514
Views
Citations
Application of He’s Variational Iteration Method for the Analytical Solution of Space Fractional Diffusion Equation
(Articles)
Mehdi Safari
Applied Mathematics
Vol.2 No.9
,September 19, 2011
DOI:
10.4236/am.2011.29150
6,480
Downloads
11,559
Views
Citations
Application of Adomian’s Decomposition Method for the Analytical Solution of Space Fractional Diffusion Equation
(Articles)
Mohammad Danesh
,
Mehdi Safari
Advances in Pure Mathematics
Vol.1 No.6
,November 24, 2011
DOI:
10.4236/apm.2011.16062
7,166
Downloads
14,872
Views
Citations
Some New Delay Integral Inequalities Based on Modified Riemann-Liouville Fractional Derivative and Their Applications
(Articles)
Zhimin Zhao
,
Run Xu
Journal of Applied Mathematics and Physics
Vol.3 No.5
,May 11, 2015
DOI:
10.4236/jamp.2015.35059
3,416
Downloads
4,537
Views
Citations
The Exact Solution of the Space-Time Fractional Modified Kdv-Zakharov-Kuznetsov Equation
(Articles)
Qiuyan Jin
,
Tiecheng Xia
,
Jinbo Wang
Journal of Applied Mathematics and Physics
Vol.5 No.4
,April 28, 2017
DOI:
10.4236/jamp.2017.54074
1,448
Downloads
2,511
Views
Citations
On the Approximate Solution of Fractional Logistic Differential Equation Using Operational Matrices of Bernstein Polynomials
(Articles)
R. F. Al-Bar
Applied Mathematics
Vol.6 No.12
,November 26, 2015
DOI:
10.4236/am.2015.612184
3,064
Downloads
4,256
Views
Citations
Comparison of Numerical Approximations of One-Dimensional Space Fractional Diffusion Equation Using Different Types of Collocation Points in Spectral Method Based on Lagrange’s Basis Polynomials
(Articles)
Mushfika Hossain Nova
,
Hasib Uddin Molla
,
Sajeda Banu
American Journal of Computational Mathematics
Vol.7 No.4
,December 15, 2017
DOI:
10.4236/ajcm.2017.74034
970
Downloads
1,873
Views
Citations
Fractional Versions of the Fundamental Theorem of Calculus
(Articles)
Eliana Contharteze Grigoletto
,
Edmundo Capelas de Oliveira
Applied Mathematics
Vol.4 No.7A
,July 8, 2013
DOI:
10.4236/am.2013.47A006
9,860
Downloads
14,733
Views
Citations
This article belongs to the Special Issue on
Fractional Calculus Theory and Application
Approximate Solutions for a Class of Fractional-Order Model of HIV Infection via Linear Programming Problem
(Articles)
Samaneh Soradi Zeid
,
Mostafa Yousefi
,
Ali Vahidian Kamyad
American Journal of Computational Mathematics
Vol.6 No.2
,June 27, 2016
DOI:
10.4236/ajcm.2016.62015
2,112
Downloads
3,154
Views
Citations
Fractional Calculus, Fractional Differential Equations and Applications
(Articles)
Mariam Almahdi Mohammed Mu’lla
Open Access Library Journal
Vol.7 No.6
,June 23, 2020
DOI:
10.4236/oalib.1106244
1,510
Downloads
5,838
Views
Citations
Study for System of Nonlinear Differential Equations with Riemann-Liouville Fractional Derivative
(Articles)
Yanping Zheng
,
Wenxia Wang
Applied Mathematics
Vol.4 No.7A
,July 5, 2013
DOI:
10.4236/am.2013.47A002
3,570
Downloads
5,995
Views
Citations
This article belongs to the Special Issue on
Fractional Calculus Theory and Application
An Accurate Numerical Solution for the Modified Equal Width Wave Equation Using the Fourier Pseudo-Spectral Method
(Articles)
Hany N. Hassan
Journal of Applied Mathematics and Physics
Vol.4 No.6
,June 13, 2016
DOI:
10.4236/jamp.2016.46110
1,915
Downloads
2,891
Views
Citations
Two-Level Block Decompositions for Solving Helmholtz Equation via Chebyshev Pseudo Spectral Method
(Articles)
Hsin-Chu Chen
Journal of Modern Physics
Vol.9 No.9
,August 1, 2018
DOI:
10.4236/jmp.2018.99107
597
Downloads
1,183
Views
Citations
This article belongs to the Special Issue on
Computational Physics
Laplace Decomposition Method for Time-Fractional Fornberg-Whitham Type Equations
(Articles)
Thilagarajah Mathanaranjan
,
Dayalini Vijayakumar
Journal of Applied Mathematics and Physics
Vol.9 No.2
,February 25, 2021
DOI:
10.4236/jamp.2021.92019
424
Downloads
1,127
Views
Citations
Numerical Solution for the Fractional Wave Equation Using Pseudo-Spectral Method Based on the Generalized Laguerre Polynomials
(Articles)
Nasser H. Sweilam
,
Mohamed M. Khader
,
Mohamed Adel
Applied Mathematics
Vol.6 No.4
,April 10, 2015
DOI:
10.4236/am.2015.64058
4,192
Downloads
5,472
Views
Citations
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