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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
1,077
Downloads
2,569
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
6,452
Downloads
11,658
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
7,142
Downloads
15,120
Views
Citations
A Numerical Simulation of Air Flow in the Human Respiratory System Based on Lung Model
(Articles)
Md. Kamrul Hasan
,
Mahtab U. Ahmmed
,
Md. Samsul Arefin
Journal of Applied Mathematics and Physics
Vol.11 No.8
,August 14, 2023
DOI:
10.4236/jamp.2023.118142
89
Downloads
544
Views
Citations
Solution of Nonlinear Advection-Diffusion Equations via Linear Fractional Map Type Nonlinear QCA
(Articles)
Shinji Hamada
,
Hideo Sekino
Journal of Quantum Information Science
Vol.6 No.4
,December 13, 2016
DOI:
10.4236/jqis.2016.64017
1,303
Downloads
2,363
Views
Citations
Fractal and Fractional Diffusion Equations of Price Changing of Commodity
(Articles)
Tianquan Yun
Applied Mathematics
Vol.4 No.7A
,July 5, 2013
DOI:
10.4236/am.2013.47A005
3,469
Downloads
5,351
Views
Citations
This article belongs to the Special Issue on
Fractional Calculus Theory and Application
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
3,795
Downloads
6,598
Views
Citations
Finite Element Method for a Kind of Two-Dimensional Space-Fractional Diffusion Equation with Its Implementation
(Articles)
Beiping Duan
,
Zhoushun Zheng
,
Wen Cao
American Journal of Computational Mathematics
Vol.5 No.2
,June 10, 2015
DOI:
10.4236/ajcm.2015.52012
3,674
Downloads
5,581
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
963
Downloads
1,919
Views
Citations
Alternating Segment Explicit-Implicit and Implicit-Explicit Parallel Difference Method for Time Fractional Sub-Diffusion Equation
(Articles)
Lifei Wu
,
Yadi Zhao
,
Xiaozhong Yang
Journal of Applied Mathematics and Physics
Vol.6 No.5
,May 28, 2018
DOI:
10.4236/jamp.2018.65089
810
Downloads
1,780
Views
Citations
A Class of Semi-Implicit Parallel Difference Method for Time Fractional Diffusion Equations
(Articles)
Lifei Wu
,
Jiake Sun
,
Xiaozhong Yang
Journal of Applied Mathematics and Physics
Vol.8 No.1
,January 10, 2020
DOI:
10.4236/jamp.2020.81012
591
Downloads
1,260
Views
Citations
Green Function of Generalized Time Fractional Diffusion Equation Using Addition Formula of Mittag-Leffler Function
(Articles)
Fang Wang
,
Jinmeng Zhang
Journal of Applied Mathematics and Physics
Vol.10 No.9
,September 23, 2022
DOI:
10.4236/jamp.2022.109182
96
Downloads
436
Views
Citations
A Compact Finite Volume Scheme for the Multi-Term Time Fractional Sub-Diffusion Equation
(Articles)
Baojin Su
,
Yanan Wang
,
Jingwen Qi
,
Yousen Li
Journal of Applied Mathematics and Physics
Vol.10 No.10
,October 27, 2022
DOI:
10.4236/jamp.2022.1010210
86
Downloads
411
Views
Citations
Fractional Quantum Hall States for Filling Factors 2/3 <
ν
< 2
(Articles)
Shosuke Sasaki
Journal of Modern Physics
Vol.6 No.5
,April 10, 2015
DOI:
10.4236/jmp.2015.65064
3,183
Downloads
4,313
Views
Citations
Interval Oscillation Criteria for Fractional Partial Differential Equations with Damping Term
(Articles)
Vadivel Sadhasivam
,
Jayapal Kavitha
Applied Mathematics
Vol.7 No.3
,February 29, 2016
DOI:
10.4236/am.2016.73025
2,424
Downloads
3,422
Views
Citations
Oscillation for a Class of Fractional Differential Equation
(Articles)
Qian Feng
,
Anping Liu
Journal of Applied Mathematics and Physics
Vol.7 No.7
,July 10, 2019
DOI:
10.4236/jamp.2019.77096
909
Downloads
2,062
Views
Citations
Oscillation Theorems for Two Classes of Fractional Neutral Differential Equations
(Articles)
Xulong Wang
,
Siying Long
,
Anping Liu
Journal of Applied Mathematics and Physics
Vol.10 No.10
,October 21, 2022
DOI:
10.4236/jamp.2022.1010203
79
Downloads
502
Views
Citations
Global Well-Posedness of the Fractional Tropical Climate Model
(Articles)
Meiqi Hu
Journal of Applied Mathematics and Physics
Vol.12 No.3
,March 25, 2024
DOI:
10.4236/jamp.2024.123049
26
Downloads
105
Views
Citations
Correlation between Diffusion Equation and Schrödinger Equation
(Articles)
Takahisa Okino
Journal of Modern Physics
Vol.4 No.5
,May 23, 2013
DOI:
10.4236/jmp.2013.45088
7,832
Downloads
12,893
Views
Citations
A Variational Approach for Numerically Solving the Two-Component Radial Dirac Equation for One-Particle Systems
(Articles)
Antonio L. A. Fonseca
,
Daniel L. Nascimento
,
Fabio F. Monteiro
,
Marco A. Amato
Journal of Modern Physics
Vol.3 No.4
,April 27, 2012
DOI:
10.4236/jmp.2012.34048
5,854
Downloads
9,674
Views
Citations
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