Solvability and Dynamics of Superlinear Reaction Diffusion Problem with Integral Condition

Iqbal M. Batiha; Zainouba Chebana; Taki Eddine Oussaeif; Adel Ouannas; Shameseddin Alshorm; Amjed Zraiqat

Solvability and Dynamics of Superlinear Reaction Diffusion Problem with Integral Condition

Iqbal M. Batiha
, Zainouba Chebana
, Taki Eddine Oussaeif
, Adel Ouannas
, Shameseddin Alshorm
, Amjed Zraiqat

Nonlinear Dynamic Research Centre (NDRC)

Irbid National University
University of Oum El Bouaghi
Al-Zaytoonah University of Jordan

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

21 Scopus citations

Abstract

In this paper, we evaluate certain type superlinear nonlocal problems that are a class of parabolic equations with the second-type integral condition. We use the Fadeo-Galarkin method to establish the existence of the weak solution and we prove the uniqueness of this solution for the problem by using an a priori estimate. In addition, we study the theoretical blowup solution and perform several numerical simulations of finitetime blow-up of a particular example of the main problem.

Original language	English
Article number	IJAM_53_1_15
Journal	IAENG International Journal of Applied Mathematics
Volume	53
Issue number	1
State	Published - Mar 2023

Keywords

Blow-up solution
Existence and uniqueness
Fadeo-Galarkin method
Integral condition
Nonlinear equations
Parabolic equation

Cite this

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title = "Solvability and Dynamics of Superlinear Reaction Diffusion Problem with Integral Condition",

abstract = "In this paper, we evaluate certain type superlinear nonlocal problems that are a class of parabolic equations with the second-type integral condition. We use the Fadeo-Galarkin method to establish the existence of the weak solution and we prove the uniqueness of this solution for the problem by using an a priori estimate. In addition, we study the theoretical blowup solution and perform several numerical simulations of finitetime blow-up of a particular example of the main problem.",

keywords = "Blow-up solution, Existence and uniqueness, Fadeo-Galarkin method, Integral condition, Nonlinear equations, Parabolic equation",

author = "Batiha, \{Iqbal M.\} and Zainouba Chebana and Oussaeif, \{Taki Eddine\} and Adel Ouannas and Shameseddin Alshorm and Amjed Zraiqat",

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AU - Batiha, Iqbal M.

AU - Chebana, Zainouba

AU - Oussaeif, Taki Eddine

AU - Ouannas, Adel

AU - Alshorm, Shameseddin

AU - Zraiqat, Amjed

PY - 2023/3

Y1 - 2023/3

N2 - In this paper, we evaluate certain type superlinear nonlocal problems that are a class of parabolic equations with the second-type integral condition. We use the Fadeo-Galarkin method to establish the existence of the weak solution and we prove the uniqueness of this solution for the problem by using an a priori estimate. In addition, we study the theoretical blowup solution and perform several numerical simulations of finitetime blow-up of a particular example of the main problem.

AB - In this paper, we evaluate certain type superlinear nonlocal problems that are a class of parabolic equations with the second-type integral condition. We use the Fadeo-Galarkin method to establish the existence of the weak solution and we prove the uniqueness of this solution for the problem by using an a priori estimate. In addition, we study the theoretical blowup solution and perform several numerical simulations of finitetime blow-up of a particular example of the main problem.

KW - Blow-up solution

KW - Existence and uniqueness

KW - Fadeo-Galarkin method

KW - Integral condition

KW - Nonlinear equations

KW - Parabolic equation

UR - https://www.scopus.com/pages/publications/85149689094

M3 - Article

AN - SCOPUS:85149689094

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VL - 53

JO - IAENG International Journal of Applied Mathematics

JF - IAENG International Journal of Applied Mathematics

IS - 1

M1 - IJAM_53_1_15

ER -

Solvability and Dynamics of Superlinear Reaction Diffusion Problem with Integral Condition

Abstract

Keywords

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