@article{Ganesh2001,
title = {A discrete Galerkin method for a catalytic combustion model},
author = {M. Ganesh and D. J. Worth},
journal = {Computers \& Mathematics with Applications},
month = {2001/6},
note = {TY - JOUR},
number = {12},
pages = {1545-1557},
url = {http://www.sciencedirect.com/science/article/B6TYJ-43P38MK-2K/2/c9133b45ab1bed9b4e091839cdd8f957},
volume = {41},
year = {2001},
abstract = {We apply a novel cost-effective spline method to a one-dimensional
model of catalytic combustion in a monolith reactor. The model includes
terms for catalytic reaction, heat and mass transfer between the
channel wall and the gas, axial conduction in the solid wall, and
heat exchange by radiative transfer. This leads to a nonlinear integrodifferential-algebraic
system.The computational scheme is based on a discrete Petrov-Galerkin
Method, discussed in detail in the recent work [1], and seeks spline
approximations to the solutions. It is more cost-effective than the
usual orthogonal collocation method and has been proved recently
that it retains all stable and optimal convergence properties of
the orthogonal collocation on finite elements. It also provides an
approach which retains the coupling of the solution components which
was not present in previous work on this problem.The numerical experiments
obtained using the method are verified against solutions provided
in the literature.},
shorttitle = {A discrete Galerkin method for a catalytic combustion model}, endnotereftype = {Journal Article},
keywords = {imported }
}
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