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




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


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.

Author Biographies

D.V. Lukyanenko

A.A. Panin


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How to Cite

Лукьяненко Д., Панин А. Blow-up Phenomena in the Model of a Space Charge Stratification in Semiconductors: Numerical Analysis of Original Equation Reduction to a Differential-Algebraic System // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2016. 17. 437-446. doi 10.26089/NumMet.v17r440



Section 1. Numerical methods and applications

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