Numerical Experiments for Reaction-Diffusion Equations Using Exponential Integrators

  • Gabriel Dimitriu
  • Răzvan Ştefănescu
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5434)


In this study we focus on a comparative numerical approach of two reaction-diffusion models arising in biochemistry by using exponential integrators. The goal of exponential integrators is to treat exactly the linear part of the differential model and allow the remaining part of the integration to be integrated numerically using an explicit scheme. Numerical simulations including both the global error as a function of time step and error as a function of computational time are shown.


Numerical Scheme Global Error Order Scheme Exponential Integrator Thomas Model 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Gabriel Dimitriu
    • 1
  • Răzvan Ştefănescu
    • 1
  1. 1.Department of Mathematics and InformaticsUniversity of Medicine and Pharmacy “Gr. T. Popa”IaşiRomania

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