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Bäcklund Transformations: a Link Between Diffusion Models and Hydrodynamic Equations
UFRGS, Porto Alegre, RS, Brazil.
UniRitter, Porto Alegre, RS, Brazil.
Computer Modeling in Engineering & Sciences 2014, 103(4), 215-227. https://doi.org/10.3970/cmes.2014.103.215
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This work presents a new analytical method to transform exact solutions of linear diffusion equations into exact ones for nonlinear advection-diffusion models. The proposed formulation, based on Bäcklund transformations, is employed to obtain velocity fields for the unsteady two-dimensional Helmholtz equation, starting from analytical solutions of a heat conduction type model.Keywords
exact solutions, nonlinear partial differential equations, Navier- Stokes equation, Helmholtz equation, Bäcklund transformation, linearization without approximations, diffusion model in pressure field, vector field plots, symbolical packages, low time processing.
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APA Style
Zabadal, J., Bodmann, B., Ribeiro, V.G., Silveira, A., Silveira, S. (2014). Bäcklund Transformations: a Link Between Diffusion Models and Hydrodynamic Equations. Computer Modeling in Engineering & Sciences, 103(4), 215–227. https://doi.org/10.3970/cmes.2014.103.215
Vancouver Style
Zabadal J, Bodmann B, Ribeiro VG, Silveira A, Silveira S. Bäcklund Transformations: a Link Between Diffusion Models and Hydrodynamic Equations. Comput Model Eng Sci. 2014;103(4):215–227. https://doi.org/10.3970/cmes.2014.103.215
IEEE Style
J. Zabadal, B. Bodmann, V. G. Ribeiro, A. Silveira, and S. Silveira, “Bäcklund Transformations: a Link Between Diffusion Models and Hydrodynamic Equations,” Comput. Model. Eng. Sci., vol. 103, no. 4, pp. 215–227, 2014. https://doi.org/10.3970/cmes.2014.103.215
Copyright © 2014 The Author(s). Published by Tech Science Press.This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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