Department of Applied Mathematics, Imam Khomeini International University, Qazvin 34148-96818, Iran
Abstract
This article presents a method based on combination of successive linearization method (SLM) and pseudo-spectral collocation method and then is applied on a nonlinear model of coupled diffusion and chemical reaction in a spherical catalyst pellet. It is obtained that this method can be used for nonlinear boundary value problems without difficulty because the nonlinear part of the equation becomes inactive by SLM and more, to treat the linear equation, even in the case of complicatedness, is straightforward by pseudo-spectral collocation method. Also, the results reveal the high efficiency with reliable accuracy of this hybrid method.
Shivanian,E and Mohammadi,E . (2022). A hybrid method of successive linearization method (SLM) and collocation method to steady regime of the reaction-diffusion equation. Computational Mathematics and Computer Modeling with Applications (CMCMA), 1(2), 1-7. doi: 10.52547/CMCMA.1.2.1
MLA
Shivanian,E , and Mohammadi,E . "A hybrid method of successive linearization method (SLM) and collocation method to steady regime of the reaction-diffusion equation", Computational Mathematics and Computer Modeling with Applications (CMCMA), 1, 2, 2022, 1-7. doi: 10.52547/CMCMA.1.2.1
HARVARD
Shivanian E, Mohammadi E. (2022). 'A hybrid method of successive linearization method (SLM) and collocation method to steady regime of the reaction-diffusion equation', Computational Mathematics and Computer Modeling with Applications (CMCMA), 1(2), pp. 1-7. doi: 10.52547/CMCMA.1.2.1
CHICAGO
E Shivanian and E Mohammadi, "A hybrid method of successive linearization method (SLM) and collocation method to steady regime of the reaction-diffusion equation," Computational Mathematics and Computer Modeling with Applications (CMCMA), 1 2 (2022): 1-7, doi: 10.52547/CMCMA.1.2.1
VANCOUVER
Shivanian E, Mohammadi E. A hybrid method of successive linearization method (SLM) and collocation method to steady regime of the reaction-diffusion equation. Computational Mathematics and Computer Modeling with Applications (CMCMA). 2022;1(2):1-7. doi: 10.52547/CMCMA.1.2.1
