ON NONLINEAR NEUMANN INTEGRAL CONDITION FOR A SEMILINEAR HEAT PROBLEM WITH BLOW UP SIMULATION

Zainouba Chebana; Taki Eddine Oussaeif; Sofiane Dehilis; Adel Ouannas; Iqbal M. Batiha; Ayman Badawi

ON NONLINEAR NEUMANN INTEGRAL CONDITION FOR A SEMILINEAR HEAT PROBLEM WITH BLOW UP SIMULATION

Zainouba Chebana
, Taki Eddine Oussaeif
, Sofiane Dehilis
, Adel Ouannas
, Iqbal M. Batiha
, Ayman Badawi

Nonlinear Dynamic Research Centre (NDRC)

University of Oum El Bouaghi
Al-Zaytoonah University of Jordan

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

In this paper, we present and discuss a class of semi-linear heat equation with nonlinear nonlocal conditions of second type. The existence and uniqueness of weak solution of the presented problem are investigated in view of the linearisation method. Besides, a well study on the generalized Fujuta problem is also presented. Several graphical comparisons are carried out between the exact and numerical finite-time blow-up solutions.

Original language	English
Pages (from-to)	378-394
Number of pages	17
Journal	Palestine Journal of Mathematics
Volume	12
Issue number	3
State	Published - 2023

Keywords

Parabolic equation
energy inequality method
existence and uniqueness
integral condition
nonlinear equations

Cite this

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title = "ON NONLINEAR NEUMANN INTEGRAL CONDITION FOR A SEMILINEAR HEAT PROBLEM WITH BLOW UP SIMULATION",

abstract = "In this paper, we present and discuss a class of semi-linear heat equation with nonlinear nonlocal conditions of second type. The existence and uniqueness of weak solution of the presented problem are investigated in view of the linearisation method. Besides, a well study on the generalized Fujuta problem is also presented. Several graphical comparisons are carried out between the exact and numerical finite-time blow-up solutions.",

keywords = "Parabolic equation, energy inequality method, existence and uniqueness, integral condition, nonlinear equations",

author = "Zainouba Chebana and Oussaeif, \{Taki Eddine\} and Sofiane Dehilis and Adel Ouannas and Batiha, \{Iqbal M.\} and Ayman Badawi",

note = "Publisher Copyright: {\textcopyright} Palestine Polytechnic University-PPU 2023.",

year = "2023",

language = "English",

volume = "12",

pages = "378--394",

journal = "Palestine Journal of Mathematics",

issn = "2219-5688",

publisher = "Palestine Polytechnic University",

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T1 - ON NONLINEAR NEUMANN INTEGRAL CONDITION FOR A SEMILINEAR HEAT PROBLEM WITH BLOW UP SIMULATION

AU - Chebana, Zainouba

AU - Oussaeif, Taki Eddine

AU - Dehilis, Sofiane

AU - Ouannas, Adel

AU - Batiha, Iqbal M.

AU - Badawi, Ayman

N1 - Publisher Copyright: © Palestine Polytechnic University-PPU 2023.

PY - 2023

Y1 - 2023

N2 - In this paper, we present and discuss a class of semi-linear heat equation with nonlinear nonlocal conditions of second type. The existence and uniqueness of weak solution of the presented problem are investigated in view of the linearisation method. Besides, a well study on the generalized Fujuta problem is also presented. Several graphical comparisons are carried out between the exact and numerical finite-time blow-up solutions.

AB - In this paper, we present and discuss a class of semi-linear heat equation with nonlinear nonlocal conditions of second type. The existence and uniqueness of weak solution of the presented problem are investigated in view of the linearisation method. Besides, a well study on the generalized Fujuta problem is also presented. Several graphical comparisons are carried out between the exact and numerical finite-time blow-up solutions.

KW - Parabolic equation

KW - energy inequality method

KW - existence and uniqueness

KW - integral condition

KW - nonlinear equations

UR - https://www.scopus.com/pages/publications/85175552278

M3 - Article

AN - SCOPUS:85175552278

SN - 2219-5688

VL - 12

SP - 378

EP - 394

JO - Palestine Journal of Mathematics

JF - Palestine Journal of Mathematics

IS - 3

ER -

ON NONLINEAR NEUMANN INTEGRAL CONDITION FOR A SEMILINEAR HEAT PROBLEM WITH BLOW UP SIMULATION

Abstract

Keywords

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