A Difference Scheme for Multidimensional Transfer Equations with Time Delay. Solodushkin, S. I., Yumanova, I. F., & De Staelen, R. H. Journal of Computational and Applied Mathematics, 318:433-443, jul, 2017.
A Difference Scheme for Multidimensional Transfer Equations with Time Delay [link]Paper  abstract   bibtex   
This paper continues research initiated in [29]. 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. (C) 2017 Elsevier B.V. All rights reserved.
@article{solodushkin-jcam-318-2017,
	Abstract = {This paper continues research initiated in [29]. 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. (C) 2017 Elsevier B.V. All rights reserved.},
	Author = {S. I. Solodushkin and I. F. Yumanova and R. H. {De Staelen}},
	Date-Modified = {2017-02-01 08:51:40 +0000},
	Journal = {Journal of Computational and Applied Mathematics},
	Month = {jul},
	Pages = {433-443},
	Title = {A Difference Scheme for Multidimensional Transfer Equations with Time Delay},
	Url = {http://dx.doi.org/10.1016/j.cam.2015.12.011},
	Volume = {318},
	Year = {2017},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/j.cam.2015.12.011}}

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