Local radial basis functions and scale-3 Haar wavelets operational matrices based numerical algorithms for generalized regularized long wave model

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 u(0) (x) is an element of H-0(2) (Omega). 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.(c) 2021 Elsevier B.V. All rights reserved.

Automated summary

Two numerical algorithms are developed in this article to simulate the generalized regularized long wave (GRLW) model using local radial basis functions (LRBFs) and Scale 3 Haar wavelets (S3HWs). The well-posedness of the model is discussed, and the semi-discrete and fully discretized models are analyzed for truncation errors, stability, and simulation results.