2D Fractional Diffusion Equation - Articles - Scientific Research Publishing

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 1,198 Downloads 2,766 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 6,618 Downloads 11,866 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 7,302 Downloads 15,194 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 194 Downloads 1,080 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 1,379 Downloads 2,561 Views Citations
The Finite Volume Element Method for Time-Fractional Nonlinear Fourth-Order Diffusion Equation with Time Delay (Articles)

Anran Li, Qing Yang

Engineering Vol.17 No.1，January 21, 2025

DOI: 10.4236/eng.2025.171004 41 Downloads 211 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 3,575 Downloads 5,356 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 3,952 Downloads 6,733 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 3,786 Downloads 5,676 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 1,019 Downloads 2,084 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 892 Downloads 1,788 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 680 Downloads 1,381 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 161 Downloads 631 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 126 Downloads 630 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 3,301 Downloads 4,441 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 2,502 Downloads 3,631 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 992 Downloads 2,096 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 141 Downloads 705 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 85 Downloads 316 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 8,098 Downloads 12,186 Views Citations

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