Iranian Journal of Mathematical Sciences and Informatics
مجله علوم ریاضی و انفورماتیک
IJMSI
Basic Sciences
http://ijmsi.ir
1
admin
1735-4463
2008-9473
8
10.61186/ijmsi
14
8888
13
en
jalali
1403
6
1
gregorian
2024
9
1
19
2
online
1
fulltext
en
Numerical Approach of Cattaneo Equation with Time Caputo-Fabrizio Fractional Derivative
عمومى
General
پژوهشي
Research paper
In the paper, we consider a type of Cattaneo equation with time fractional derivative without singular kernel based on fourth-order compact finite difference (CFD) in the space directions. In case of two dimensional, two alternating direction implicit (ADI) methods are proposed to split the equation into two separate one dimensional equations. The time fractional derivation is described in the Caputo-Fabrizio’s sense with scheme of order O(τ<sup>2</sup>). The solvability, unconditional stability and H<sup>1</sup> norm convergence of the scheme are proved. Numerical results confirm the theoretical results and the effectiveness of the proposed scheme.
Caputo-Fabrizio fractional derivative, Compact finite difference, Cattaneo equation, Alternating direction implicit method.
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153
http://ijmsi.ir/browse.php?a_code=A-10-5488-1&slc_lang=en&sid=1
Zoleikha
Soori
zsoori@mail.kntu.ac.ir
`100319475328460010868`

100319475328460010868
Yes
Department of Mathematics, K. N. Toosi University of Technology, P. O. Box: 1676-53381, Tehran, Iran
Azim
Aminataei
ataei@kntu.ac.ir
`100319475328460010869`

100319475328460010869
No
Department of Mathematics, K. N. Toosi University of Technology, P. O. Box: 1676-53381, Tehran, Iran