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J. Guerrero, R. Cotta (1992)
Integral transform solution for the lid‐driven cavity flow problem in streamfunction‐only formulationInternational Journal for Numerical Methods in Fluids, 15
R. Cotta (1990)
HYBRID NUMERICAL/ANALYTICAL APPROACH TO NONLINEAR DIFFUSION PROBLEMSNumerical Heat Transfer Part A-applications, 17
A. Leiroz, R. Cotta (1993)
ON THE SOLUTION OF NONLINEAR ELLIPTIC CONVECTION-DIFFUSION PROBLEMS THROUGH THE INTEGRAL TRANSFORM METHODNumerical Heat Transfer Part B-fundamentals, 23
R. Cotta, M. Özişik (1986)
Laminar forced convection inside ducts with periodic variation of inlet temperatureInternational Journal of Heat and Mass Transfer, 29
R. Cotta, M. Özişik (1986)
Transient forced convection in laminar channel flow with stepwise variations of wall temperatureCanadian Journal of Chemical Engineering, 64
E. Benton, G. Platzman (1972)
A table of solutions of the one-dimensional Burgers equationQuarterly of Applied Mathematics, 30
C. Baohua, R. Cotta (1993)
INTEGRAL TRANSFORM ANALYSIS OF NATURAL CONVECTION IN POROUS ENCLOSURESInternational Journal for Numerical Methods in Fluids, 17
M. Mikhailov, M. Özişik (1984)
Unified Analysis and Solutions of Heat and Mass Diffusion
J. Aparecido, R. Cotta (1990)
Thermally developing laminar flow inside rectangular ductsInternational Journal of Heat and Mass Transfer, 33
K. Sepehrnoori, G. Carey (1981)
Numerical integration of semidiscrete evolution systemsComputer Methods in Applied Mechanics and Engineering, 27
J. Aperecido, R. Cotta, M. Özişik (1989)
Analytical solutions to two-dimensional diffusion type problems in irregular geometriesJournal of The Franklin Institute-engineering and Applied Mathematics, 326
R. Cotta (1989)
On the solution of periodic multidimensional diffusion problemsInternational Communications in Heat and Mass Transfer, 16
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.
International Journal of Numerical Methods for Heat and Fluid Flow – Emerald Publishing
Published: Jan 1, 1992
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