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A new mixed scheme based on variation of constants for Sobolev equation with nonlinear convection term

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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.

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Authors and Affiliations

  1. School of Mathematical Sciences, Inner Mongolia University, Hohhot, 010021, China

    Yang Liu, Hong Li, Siriguleng He & Wei Gao

  2. College of Finance and Statistics, Hunan University, Changsha, 410205, China

    Sen Mu

Authors
  1. Yang Liu
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  2. Hong Li
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  3. Siriguleng He
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  4. Wei Gao
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  5. Sen Mu
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Additional information

Supported by National Natural Science Fund of China (11061021), Key Project of Chinese Ministry of Education (12024), Natural Science Fund of Inner Mongolia Autonomous Region (2012MS0108, 2012MS0106, 2011BS0102), Scientific Research Projection of Higher Schools of Inner Mongolia (NJZZ12011, NJZY13199), Program of Higher-level talents of Inner Mongolia University (125119, Z200901004, 30105-125132).

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Liu, Y., Li, H., He, S. et al. A new mixed scheme based on variation of constants for Sobolev equation with nonlinear convection term. Appl. Math. J. Chin. Univ. 28, 158–172 (2013). https://doi.org/10.1007/s11766-013-2939-7

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  • DOI: https://doi.org/10.1007/s11766-013-2939-7

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