A note on the delay nonlinear parabolic differential equations
Ashyralyev A. Agirseven D. Mu’azu S.B.
2024University of Nis
Filomat
2024#38Issue 165761 - 5778 pp.
In this paper, the initial boundary value problem (IBVP) for nonlinear delay differential equations (DEs) in a Banach space with strongly unbounded operators is studied. The theorem on the existence and uniqueness of a bounded solution (BS) of this problem is established. The application of the main theorem to nonlinear delay parabolic equations is provided. Theorems on the existence and uniqueness of a bounded solution of the initial boundary value problems for three types of nonlinear delay parabolic equations are established. The first and second order of accuracy difference schemes (FSOADSs) for the solution of one dimensional nonlinear parabolic equation with time delay are presented. Finally, certain numerical experiments are given to confirm the agreement between experimental and theoretical results and to make clear how effective the proposed approach is.
Delay nonlinear parabolic equation , difference scheme
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Department of Mathematics, Bahcesehir University, Istanbul, 34353, Turkey
Peoples Friendship University of Russia (RUDN University), Moscow, 117198, Russian Federation
Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Department of Mathematics, Trakya University, Edirne, Turkey
Department of Mathematics, Faculty of Arts and Sciences, Near East University, TRNC, Mersin 10, Turkey
Department of Mathematics, Faculty of Physical Sciences, Kebbi State University of Science and Technology, Aliero, Nigeria
Department of Mathematics
Peoples Friendship University of Russia (RUDN University)
Institute of Mathematics and Mathematical Modeling
Department of Mathematics
Department of Mathematics
Department of Mathematics
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