Convergence acceleration algorithm via an equation related to the lattice Boussinesq equation
Yi He (1, 2), Xing-Biao Hu (1), Jian-Qing Sun (1, 2), and Ernst, Joachim Weniger (3) ((1) LSEC, Institute of Computational Mathematics and, Scientific Engineering Computing, Chinese Academy of Sciences, PR China. (2), Graduate School of the Chinese Academy of Sciences, Beijing
TL;DR
This paper introduces a convergence acceleration algorithm derived from an equation related to the lattice Boussinesq equation, demonstrating its effectiveness through numerical examples and applications.
Contribution
It presents a novel convergence acceleration algorithm based on a lattice Boussinesq equation and provides numerical validation of its performance.
Findings
The algorithm effectively accelerates convergence in numerical sequences.
Determinantal identities are used to derive the molecule solution.
Numerical examples demonstrate the algorithm's practical utility.
Abstract
The molecule solution of an equation related to the lattice Boussinesq equation is derived with the help of determinantal identities. It is shown that this equation can for certain sequences be used as a numerical convergence acceleration algorithm. Numerical examples with applications of this algorithm are presented.
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Taxonomy
TopicsNonlinear Waves and Solitons · Iterative Methods for Nonlinear Equations · Fractional Differential Equations Solutions