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A new mixed scheme based on variation of constants for Sobolev equation with nonlinear convection term |
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| Authors: | Yang Liu Hong Li Siriguleng He Wei Gao Sen Mu |
| Institution: | 1. School of Mathematical Sciences, Inner Mongolia University, Hohhot, 010021, China 2. College of Finance and Statistics, Hunan University, Changsha, 410205, China |
| Abstract: | A new mixed scheme which combines the variation of constants and the H 1-Galerkin mixed finite element method is constructed for nonlinear Sobolev equation with nonlinear convection term. Optimal error estimates are derived for both semidiscrete and fully discrete schemes. Finally, some numerical results are given to confirm the theoretical analysis of the proposed method. |
| Keywords: | Sobolev equation nonlinear convection term variation of constants H1-Galerkin mixed method optimal error estimate |
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