Semilinear periodic equation with arbitrary nonlinear growth and data measure: mathematical analysis and numerical simulation-Reference-Cited by-同舟云学术

Semilinear periodic equation with arbitrary nonlinear growth and data measure: mathematical analysis and numerical simulation

Published:2023 Issue:3 Volume:10 Page:956-964
ISSN:2312-9794
Container-title:Mathematical Modeling and Computing
language:
Short-container-title:Math. Model. Comput.

Author:

El Ghabi M., ,Alaa H.,Alaa N. E., ,

Abstract

In this work, we are interested in the existence, uniqueness, and numerical simulation of weak periodic solutions for some semilinear elliptic equations with data measures and with arbitrary growth of nonlinearities. Since the data are not very regular and the growths are arbitrary, a new approach is needed to analyze these types of equations. Finally, a suitable numerical discretization scheme is presented. Several numerical examples are given which show the robustness of our algorithm.

Publisher

Lviv Polytechnic National University

Subject

Computational Theory and Mathematics,Computational Mathematics

Reference15 articles.

1. Alaa N. Quasilinear elliptic equations with arbitrary growth nonlinearity and data measures. Extracta Mathematicae. 11 (3), 405-411 (1996).

2. Alaa N., Iguernane M. Weak periodic solutions of some quasilinear parabolic equations with data measure. Journal of Inequalities in Pure and Applied Mathematics. 3 (3), 46 (2002).

3. Charkaoui A., Kouadri G., Selt O., Alaa N. Existence results of weak periodic solution for some quasilinear parabolic problem with L1 data. Annals of the University of Craiova, Mathematics and Computer Science Series. 46 (1), 66-77 (2019).

4. Some Results on The Existence of Weak Periodic Solutions For Quasilinear Parabolic Systems With L1 Data;Charkaoui;Boletim da Sociedade Paranaense de Matemática,2022

5. Elaassri A., Uahabi L. K., Charkaoui A., Alaa N. E., Mesbahi S. Existence of weak periodic solution for quasilinear parabolic problem with nonlinear boundary conditions. Annals of the University of Craiova, Mathematics and Computer Science Series. 46 (1), 1-13 (2019).