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HYBRID ANALYSIS OF TRANSIENT NONLINEAR CONVECTIONDIFFUSION PROBLEMS

HYBRID ANALYSIS OF TRANSIENT NONLINEAR CONVECTIONDIFFUSION PROBLEMS A hybrid numericalanalytical approach, based on recent developments in the generalized integral transform technique, is presented for the solution of a class of nonlinear transient convectiondiffusion problems. The original partial differential equation is integral transformed into a denumerable system of coupled nonlinear ordinary differential equations, which is numerically solved for the transformed potentials. The hybrid analysis convergence is illustrated by considering the onedimensional nonlinear Burgers equation and numerical results are presented for increasing truncation orders of the infinite ODE system. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Numerical Methods for Heat and Fluid Flow Emerald Publishing

HYBRID ANALYSIS OF TRANSIENT NONLINEAR CONVECTIONDIFFUSION PROBLEMS

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References (12)

Publisher
Emerald Publishing
Copyright
Copyright © Emerald Group Publishing Limited
ISSN
0961-5539
DOI
10.1108/eb017479
Publisher site
See Article on Publisher Site

Abstract

A hybrid numericalanalytical approach, based on recent developments in the generalized integral transform technique, is presented for the solution of a class of nonlinear transient convectiondiffusion problems. The original partial differential equation is integral transformed into a denumerable system of coupled nonlinear ordinary differential equations, which is numerically solved for the transformed potentials. The hybrid analysis convergence is illustrated by considering the onedimensional nonlinear Burgers equation and numerical results are presented for increasing truncation orders of the infinite ODE system.

Journal

International Journal of Numerical Methods for Heat and Fluid FlowEmerald Publishing

Published: Jan 1, 1992

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