Some New Error Estimates of a Semidiscrete Finite Volume Element Method for Parabolic Integro-differential Equation with Nonsmooth Initial Data

نویسندگان

  • RAJEN K. SINHA
  • RICHARD E. EWING
  • RAYTCHO D. LAZAROV
چکیده

A semidiscrete finite volume element(FVE) approximation to parabolic integrodifferential equation(PIDE) is analyzed in a two-dimensional convex polygonal domain. Optimal order L-error estimates are derived for both smooth and nonsmooth initial data. More precisely, for homogeneous equations, an elementary energy technique and duality argument is used to derive optimal L-error estimate of order O t−1h2 for positive time when the given initial function is only in L.

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تاریخ انتشار 2004