Semi-analytical approach to initial problems for systems of nonlinear partial differential equations with constant delay
- Proceedings of Equadiff 14, Publisher: Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing(Bratislava), page 163-172
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topŠamajová, Helena. "Semi-analytical approach to initial problems for systems of nonlinear partial differential equations with constant delay." Proceedings of Equadiff 14. Bratislava: Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, 2017. 163-172. <http://eudml.org/doc/294933>.
@inProceedings{Šamajová2017,
abstract = {This paper deals with the differential transform method for solving of an initial value problem for a system of two nonlinear functional partial differential equations of parabolic type. We consider non-delayed as well as delayed types of coupling and the different variety of initial functions are thought over. The convergence of solutions and the error estimation to the presented procedure is studied. Two numerical examples for non-delayed and delayed systems are included.},
author = {Šamajová, Helena},
booktitle = {Proceedings of Equadiff 14},
keywords = {Nonlinear partial differential equation, parabolic type equation, delayed equation, system of partial differential equation, initial problem},
location = {Bratislava},
pages = {163-172},
publisher = {Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing},
title = {Semi-analytical approach to initial problems for systems of nonlinear partial differential equations with constant delay},
url = {http://eudml.org/doc/294933},
year = {2017},
}
TY - CLSWK
AU - Šamajová, Helena
TI - Semi-analytical approach to initial problems for systems of nonlinear partial differential equations with constant delay
T2 - Proceedings of Equadiff 14
PY - 2017
CY - Bratislava
PB - Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing
SP - 163
EP - 172
AB - This paper deals with the differential transform method for solving of an initial value problem for a system of two nonlinear functional partial differential equations of parabolic type. We consider non-delayed as well as delayed types of coupling and the different variety of initial functions are thought over. The convergence of solutions and the error estimation to the presented procedure is studied. Two numerical examples for non-delayed and delayed systems are included.
KW - Nonlinear partial differential equation, parabolic type equation, delayed equation, system of partial differential equation, initial problem
UR - http://eudml.org/doc/294933
ER -
References
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