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A Third Order Method for Convection-Diffusion Equations with a Delay Term

  • J. Frochte
Conference paper

Abstract

The numerical solution of a parabolic convection diffusion equation with delay term is considered. This includes both variants, the initial value problem and the prehistory problem. Equations with a delay or memory term, often called integrodifferential problems, appear in different contexts of heat conduction in materials with memory, viscoelasticity and population models. This work concentrates on the linear convection diffusion case of the prehistory and the initial value problem. One problem concerning delay or memory problems is the data storage. To deal with this problem an adaptivity method of third order in time is developed to save storage data at smooth parts of the solution. Numerical results for higher Péclet numbers are presented.

Keywords

Time Step Size Integrodifferential Equation Hermite Interpolation Delay Term Step Size Control 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  • J. Frochte
    • 1
  1. 1.Elektrische Energietechnik SoestFachhochschule SüdwestfalenSoest

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