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Article

Šamajová, Helena
Semi-analytical approach to initial problems for systems of nonlinear partial differential equations with constant delay. (English). In: Mikula, Karol (ed.): Proceedings of Equadiff 14. Conference on Differential Equations and Their Applications, Bratislava, July 24-28, 2017. Slovak University of Technology in Bratislava, SPEKTRUM STU Publishing, Bratislava, 2017. pp. 163-172
MSC: 35K51, 35K55, 35K61
Keywords:
Nonlinear partial differential equation, parabolic type equation, delayed equation, system of partial differential equation, initial problem
Summary:
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.
References:
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