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

Garg, Mridula; Manohar, Pratibha

Fractional Calculus and Applied Analysis (2010)

- Volume: 13, Issue: 2, page 191-207
- ISSN: 1311-0454

## Access Full Article

top## Abstract

top## How to cite

topGarg, 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 -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.