Numerical Solution of Fractional Diffusion-Wave Equation with two Space Variables by Matrix Method

Garg, Mridula, and Manohar, Pratibha. "Numerical Solution of Fractional Diffusion-Wave Equation with two Space Variables by Matrix Method." Fractional Calculus and Applied Analysis 13.2 (2010): 191-207. <http://eudml.org/doc/219635>.

@article{Garg2010,
abstract = {Mathematics Subject Classi¯cation 2010: 26A33, 65D25, 65M06, 65Z05.In the present paper we solve space-time fractional diffusion-wave equation with two space variables, using the matrix method. Here, in particular, we give solutions to classical diffusion and wave equations and fractional diffusion and wave equations with different combinations of time and space fractional derivatives. We also plot some graphs for these problems with the help of MATLAB routines.},
author = {Garg, Mridula, Manohar, Pratibha},
journal = {Fractional Calculus and Applied Analysis},
keywords = {Caputo Fractional Order Derivative; Discretization; Fractional Diffusion-Wave Equation; Kronecker Matrix Product; Matrix Approach; Riemann-Liouville Fractional Derivative; Symmetric-Riesz Fractional Derivative; Caputo fractional order derivative; discretization; fractional diffusion-wave equation; Kronecker matrix product; matrix approach; Riemann-Liouville fractional derivative; symmetric-Riesz fractional derivative},
language = {eng},
number = {2},
pages = {191-207},
publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},
title = {Numerical Solution of Fractional Diffusion-Wave Equation with two Space Variables by Matrix Method},
url = {http://eudml.org/doc/219635},
volume = {13},
year = {2010},
}

TY - JOUR
AU - Garg, Mridula
AU - Manohar, Pratibha
TI - Numerical Solution of Fractional Diffusion-Wave Equation with two Space Variables by Matrix Method
JO - Fractional Calculus and Applied Analysis
PY - 2010
PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences
VL - 13
IS - 2
SP - 191
EP - 207
AB - Mathematics Subject Classi¯cation 2010: 26A33, 65D25, 65M06, 65Z05.In the present paper we solve space-time fractional diffusion-wave equation with two space variables, using the matrix method. Here, in particular, we give solutions to classical diffusion and wave equations and fractional diffusion and wave equations with different combinations of time and space fractional derivatives. We also plot some graphs for these problems with the help of MATLAB routines.
LA - eng
KW - Caputo Fractional Order Derivative; Discretization; Fractional Diffusion-Wave Equation; Kronecker Matrix Product; Matrix Approach; Riemann-Liouville Fractional Derivative; Symmetric-Riesz Fractional Derivative; Caputo fractional order derivative; discretization; fractional diffusion-wave equation; Kronecker matrix product; matrix approach; Riemann-Liouville fractional derivative; symmetric-Riesz fractional derivative
UR - http://eudml.org/doc/219635
ER -