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AL-Rafidain Journal of Computer Sciences and Mathematics

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Numerical Solution for Linear Parabolic Reaction-Double Diffusivity System using the Operational Matrices of the Haar Wavelets Method

    Ahmed F. Qasem

AL-Rafidain Journal of Computer Sciences and Mathematics, 2008, Volume 5, Issue 1, Pages 177-195
10.33899/csmj.2008.163958

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Abstract

We are using the operational matrices of the Haar wavelets method for solving linear parabolic reaction-diffusion system with double diffusivity. A numerical method based on the Haar wavelets approach which has the property  , we compared this result with the exact solution for reaction-diffusion system, we found that high accuracy of the results in this method in the solution double diffusivity system even in the case of a small number of grid points is used. However, the computation is simple because consists of the matrices which can be programmed by Matlab language, thes matrices which we got  of the numerical solution are representing all time steps while the finite difference method and finite elements method need the iteration to get the needed time step, they are complicated and time-consuming.      
 
Keywords:
    reaction-diffusion system Haar wavelets approach Finite Difference Method
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(2008). Numerical Solution for Linear Parabolic Reaction-Double Diffusivity System using the Operational Matrices of the Haar Wavelets Method. AL-Rafidain Journal of Computer Sciences and Mathematics, 5(1), 177-195. doi: 10.33899/csmj.2008.163958
Ahmed F. Qasem. "Numerical Solution for Linear Parabolic Reaction-Double Diffusivity System using the Operational Matrices of the Haar Wavelets Method". AL-Rafidain Journal of Computer Sciences and Mathematics, 5, 1, 2008, 177-195. doi: 10.33899/csmj.2008.163958
(2008). 'Numerical Solution for Linear Parabolic Reaction-Double Diffusivity System using the Operational Matrices of the Haar Wavelets Method', AL-Rafidain Journal of Computer Sciences and Mathematics, 5(1), pp. 177-195. doi: 10.33899/csmj.2008.163958
Numerical Solution for Linear Parabolic Reaction-Double Diffusivity System using the Operational Matrices of the Haar Wavelets Method. AL-Rafidain Journal of Computer Sciences and Mathematics, 2008; 5(1): 177-195. doi: 10.33899/csmj.2008.163958
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