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GALERKIN FINITE ELEMENT METHOD AND FINITE DIFFERENCE METHOD FOR SOLVING CONVECTIVE NON-LINEAR EQUATION

E. C. Romão, M. D. de Campos, L. F. M. de Moura

Abstract


The fast progress has been observed in the development of numerical and analytical techniques for solving convection-diffusion and fluid mechanics problems. Here, a numerical approach, based in Galerkin Finite Element Method with Finite Difference Method is presented for the solution of a class of non-linear transient convection-diffusion problems. Using the analytical solutions and the L2 and L∞ error norms, some applications is carried and valuated with the literature.

Keywords


Numerical simulation; Burgers’ equation; Galerkin Finite Element Method; Finite Difference Method; Cranck-Nicolson Method

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DOI: http://dx.doi.org/10.5380/reterm.v9i1-2.61935