| Abstract: |
| It is well known that the major error occurs in the time integration instead of the spatial approximation. In this work the anisotropic kernels are used for temporal as well as spatial approximation. We extended to construct a numerical scheme for solving nonlinear burgers` equation. The time-dependent PDEs are collocated in both space and time dimension as contrary to spatial descretization first and then apply time steeping procedures for time integration. Physically one cannot in general expect that the spatial and temporal features of the solution behaves on the same order. Hence one should have to incorporat anisotropic kernels. The nonlinear Burgers` equation are converted by nonlinear transformation to linear equation. The spartial descrizations are carried out to construct sparse differential differentiation matrices instead of dense full ill-conditioned differential matrices. Comparisons with most available numerical methods are made for solving the Burgers` equation. |
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