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- W1998803447 abstract "In this paper, we propose a wavelet-Taylor Galerkin method for the numerical solution of the Burgers equation. In deriving the computational scheme, Taylor-generalized Euler time discretization is performed prior to wavelet-based Galerkin spatial approximation. The linear system of equations obtained in the process are solved by approximate-factorization-based simple explicit schemes, and the resulting solution is compared with that from regular methods. To deal with transient advection-diffusion situations that evolve toward a convective steady state, a splitting-up strategy is known to be very effective. So the Burgers equation is also solved by a splitting-up method using a wavelet-Taylor Galerkin approach. Here, the advection and diffusion terms in the Burgers equation are separated, and the solution is computed in two phases by appropriate wavelet-Taylor Galerkin schemes. Asymptotic stability of all the proposed schemes is verified, and the L∞ errors relative to the analytical solution together with the numerical solution are reported." @default.
- W1998803447 created "2016-06-24" @default.
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- W1998803447 date "2005-09-01" @default.
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- W1998803447 title "Wavelet-Taylor Galerkin Method for the Burgers Equation" @default.
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- W1998803447 doi "https://doi.org/10.1007/s10543-005-0012-5" @default.
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