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1. Solvability and Dynamics of Superlinear Reaction Diffusion Problem with Integral Condition.

Author

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

Subjects
*INTEGRAL equations, *INTEGRALS, *NONLINEAR equations, *COMPUTER simulation
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 blow-up solution and perform several numerical simulations of finite-time blow-up of a particular example of the main problem. [ABSTRACT FROM AUTHOR]

Published
2023

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