Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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AN EXTRAPOLATED CRANK-NICOLSON CHARACTERISTIC FINITE ELEMENT METHOD FOR NONLINEAR SOBOLEV EQUATIONS

  • OHM, MI RAY (Division of Mechatronics Engineering, Dongseo University) ;
  • SHIN, JUN YONG (Department of Applied Mathematics, College of Natural Sciences, Pukyong National University)
  • Received : 2017.08.03
  • Accepted : 2017.12.20
  • Published : 2018.05.30
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Abstract

An extrapolated Crank-Nicolson characteristic finite element method is introduced for approximate solutions of nonlinear Sobolev equations with a convection term. And we obtain the higher order of convergence for approximate solutions in the temporal and the spatial directions with respect to $L^2$ norm.

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References

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