Journal of Combinatorics, Information & System Sciences : (A Quarterly International Scientific Journal)
Published in Association with Forum for Interdisciplinary Mathematics
Current Volume: 47 (2022 )
ISSN: 0250-9628
e-ISSN: 0976-3473
Periodicity: Quarterly
Month(s) of Publication: March, June, September & December
Subject: Mathematics
DOI: 10.32381/JCISS
Online Access is free for all life members of JCISS.
A Note on Monotone Algorithms for Catalytic Converter Model
By : Rupsha Roy, V. Antony Vijesh
Page No: 71-82
Abstract:
Recently, a few researchers studied a coupled system of first order partial differential equation arising from a catalytic converter and interesting existence and uniqueness results have been proved. Later, the same system has been solved using finite difference method after linearizing it using a monotone iterative scheme. Even though all the iterative schemes considered were proved to have linear convergence, numerical examples suggest that certain iterative scheme converges faster than the others. The theoretical justification for the above behavior is missing in these works. This short note intents to bridge this gap by providing a mathematical justification for the faster convergence.
Authors :
Rupsha Roy
School of Basic Sciences, Indian Institute of Technology Indore, Indore-453552, India.
V. Antony Vijesh
School of Basic Sciences, Indian Institute of Technology Indore, Indore-453552, India.
DOI: https://doi.org/10.32381/JCISS.2019.44.1-4.4