Numerical methods for a coupled system of differential equations arising from a thermal ignition problem

DOI10.1002/num.21708zbMath1273.80006OpenAlexW2123363157WikidataQ57429526 ScholiaQ57429526MaRDI QIDQ4903219

Guo-Chin Jau, Chia-Ven Pao, Yu-Hsien Chang

Publication date: 21 January 2013

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.21708

zbMATH Keywords

blow-up solutionmonotone iterationfinite difference solutioncatalytic convertersystem of first-order equations

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Combustion (80A25) Finite difference methods applied to problems in thermodynamics and heat transfer (80M20) Blow-up in context of PDEs (35B44)

Related Items (6)

An accelerated technique for solving a coupled system of differential equations for a catalytic converter in interphase heat transfer ⋮ An accelerated technique for the coupled system of reaction-diffusion-transport equations arising from catalytic converters ⋮ Monotone iterative finite volume algorithms for coupled systems of first‐order nonlinear PDEs ⋮ On a coupled system of reaction-diffusion-transport equations arising from catalytic converter ⋮ Stability analysis of discrete-time coupled systems with delays ⋮ An alternative technique for solving a coupled PDE system in interphase heat transfer

Cites Work

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• Blowup and global existence of solutions for a catalytic converter in interphase heat-transfer
• Modeling exhaust gas pollution abatement. I: Single hydrocarbon propylene
• The behavior of the interphase heat-transfer for the fast-igniting catalytic converter
• Numerical methods for the linear Boltzmann transport equation in slab geometry
• Numerical Analysis of Coupled Systems of Nonlinear Parabolic Equations
• Light-off Behavior of Catalytic Converters
• Two-Dimensional Convective Heat/Mass Transfer for Low Prandtl and Any Peclet Numbers
• A non-stationary problem coupling PDEs and ODEs modelizing an automotive catalytic converter
• Numerical study of an optimal control problem for a catalytic converter function.

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