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A Numerical Method for Time-Fractional Reaction-Diffusion and Integro Reaction-Diffusion Equation Based on Quasi-Wavelet
Joint Authors
Cao, Jinde
Li, Xiaodi
Kumar, Sachin
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-09-26
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
In this research work, we focused on finding the numerical solution of time-fractional reaction-diffusion and another class of integro-differential equation known as the integro reaction-diffusion equation.
For this, we developed a numerical scheme with the help of quasi-wavelets.
The fractional term in the time direction is approximated by using the Crank–Nicolson scheme.
The spatial term and the integral term present in integro reaction-diffusion are discretized and approximated with the help of quasi-wavelets.
We study this model with Dirichlet boundary conditions.
The discretization of these initial and boundary conditions is done with a different approach by the quasi-wavelet-based numerical method.
The validity of this proposed method is tested by taking some numerical examples having an exact analytical solution.
The accuracy of this method can be seen by error tables which we have drawn between the exact solution and the approximate solution.
The effectiveness and validity can be seen by the graphs of the exact and numerical solutions.
We conclude that this method has the desired accuracy and has a distinctive local property.
American Psychological Association (APA)
Kumar, Sachin& Cao, Jinde& Li, Xiaodi. 2020. A Numerical Method for Time-Fractional Reaction-Diffusion and Integro Reaction-Diffusion Equation Based on Quasi-Wavelet. Complexity،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1141224
Modern Language Association (MLA)
Kumar, Sachin…[et al.]. A Numerical Method for Time-Fractional Reaction-Diffusion and Integro Reaction-Diffusion Equation Based on Quasi-Wavelet. Complexity No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1141224
American Medical Association (AMA)
Kumar, Sachin& Cao, Jinde& Li, Xiaodi. A Numerical Method for Time-Fractional Reaction-Diffusion and Integro Reaction-Diffusion Equation Based on Quasi-Wavelet. Complexity. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1141224
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1141224