GALERKIN FINITE ELEMENT METHOD AND FINITE DIFFERENCE METHOD FOR SOLVING CONVECTIVE NON-LINEAR EQUATION
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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PDFDOI: http://dx.doi.org/10.5380/reterm.v9i1-2.61935
