The dual reciprocity boundary elements method for the linear and nonlinear two-dimensional time-fractional partial differential equations-Reference-Cited by-同舟云学术

The dual reciprocity boundary elements method for the linear and nonlinear two-dimensional time-fractional partial differential equations

Published:2016-02-01 Issue:14 Volume:39 Page:3979-3995
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math. Meth. Appl. Sci.

Author:

Dehghan Mehdi¹,Safarpoor Mansour¹

Affiliation:

1. Department of Applied Mathematics, Faculty of Mathematics and Computer Science; Amirkabir University of Technology; No. 424, Hafez Ave.,15914 Tehran Iran

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

http://onlinelibrary.wiley.com/wol1/doi/10.1002/mma.3839/fullpdf

Reference70 articles.

1. Application of a fractional advection-dispersion equation;Benson;Water Resource Research,2000

2. Entropy solution theory for fractional degenerate convection-diffusion equations;Cifani;Annales de l'Institut Henri Poincare (C) Non Linear Analysis,2011

3. Entropy analysis of integer and fractional dynamical systems;Machado;Nonlinear Dynamics,2010

4. Application of the fractional advection-dispersion equation in porous media;Zhou;Soil Science Society of America Journal,2003

5. Approximate analytical solution of the nonlinear fractional KdV-Burgers equation: a new iterative algorithm;El-Ajou;Journal of Computational Physics,2015

Cited by 49 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A time-stepping DRBEM for nonlinear fractional sub-diffusion bio-heat ultrasonic wave propagation problems during electromagnetic radiation;Journal of Umm Al-Qura University for Applied Sciences;2024-08-08

2. Dual reciprocity boundary element method: Methodology and applications in structural engineering;Computers & Structures;2024-07

3. SCTBEM: A scaled coordinate transformation boundary element method with 99-line MATLAB code for solving Poisson's equation;Computer Physics Communications;2024-07

4. Precise integration boundary element method for solving nonlinear transient heat conduction problems with temperature dependent thermal conductivity and heat capacity;Numerical Heat Transfer, Part B: Fundamentals;2024-06-24

5. Method of Fundamental Solutions without Fictitious Boundary in Elastodynamic Behavior Using Dual Reciprocity Method;Journal of Engineering Mechanics;2024-02