A difference scheme for multidimensional transfer equations with time delay

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Abstract

This paper continues research initiated in Solodushkin et al. (2015). We develop a finite difference scheme for a first order multidimensional partial differential equation including a time delay. This class of equations is used to model different time lapse phenomena, e.g. birds migration, proliferation of viruses or bacteria and transfer of nuclear particles. For the constructed difference schemes the order of approximation, stability and convergence order are substantiated. To conclude we support the obtained results with some test examples.

MSC

65Q20
65M06

Keywords

Multidimensional transfer equation
Difference scheme
Partial delay differential equation
Time delay

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