具有任意非线性增长和数据测度的半线性周期方程:数学分析和数值模拟

Q3 Mathematics

Mathematical Modeling and Computing Pub Date : 2023-01-01 DOI:10.23939/mmc2023.03.956

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

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引用次数: 0

摘要

在这项工作中，我们对一些具有数据测度和非线性任意增长的半线性椭圆方程的弱周期解的存在性、唯一性和数值模拟感兴趣。由于数据不是很规则，增长是任意的，需要一种新的方法来分析这些类型的方程。最后，提出了一种合适的数值离散格式。算例表明了算法的鲁棒性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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.

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来源期刊

Mathematical Modeling and Computing Computer Science-Computational Theory and Mathematics

CiteScore

1.60

自引率

0.00%

发文量