离散化
线性化
截断(统计)
数学
哈尔
算法
基础(线性代数)
小波
哈尔小波转换
截断误差
基函数
应用数学
计算机科学
数学分析
离散小波变换
小波变换
几何学
非线性系统
物理
量子力学
统计
人工智能
出处
期刊:Wave Motion
[Elsevier]
日期:2022-02-01
卷期号:109: 102846-102846
被引量:23
标识
DOI:10.1016/j.wavemoti.2021.102846
摘要
In this article, two numerical algorithms are designed for the simulation of generalized regularized long wave (GRLW) model via local radial basis functions (LRBFs) and Scale-3 Haar wavelets (S3HWs). First of all, the well-posedness of the model is discuss for the initial data u0x∈H02Ω. After that in the design of two numerical algorithms, the first step is semi-discretization in time with a finite difference, quasilinearization technique (QT) for linearization and then the obtained semi-discrete model is analyzed for truncation errors and stability. In the end, the semi-discrete model is fully discretized via LRBFs and S3HWs. Finally, the fully discretized system is simulated by developing MATLAB routines. In the last section, some numerical problems are considered to inspect the chastity of the developed algorithms.
科研通智能强力驱动
Strongly Powered by AbleSci AI