DOI: https://doi.org/10.26089/NumMet.v17r440

Blow-up phenomena in the model of a space charge stratification in semiconductors: numerical analysis of original equation reduction to a differential-algebraic system

Authors

  • D.V. Lukyanenko
  • A.A. Panin

Keywords:

numerical diagnostics of solution’s blow-up
Rosenbrock method
partial differential equations
differential-algebraic equations

Abstract

The efficiency of one of the methods for the numerical diagnostics of solution’s blow-up is shown using the example of solving a nonlinear Sobolev-type equation that describes a space charge stratification in semiconductors. An approach to reduce the original partial differential equation to a differential-algebraic system is used. This system is solved by the Rosenbrock scheme with a complex coefficient. The numerical diagnostics of solution’s blow-up is based on the Richardson extrapolation procedure.

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Published

2016-10-16

Issue

Vol. 17 (2016): Issue 4.

Section

Section 1. Numerical methods and applications

Author Biographies

D.V. Lukyanenko

Lomonosov Moscow State University,
Faculty of Physics
• Associate Professor

A.A. Panin

Lomonosov Moscow State University,
Faculty of Physics
• Associate Professor

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