@Article{IJNAM-21-2,
author = {Xu, Jie and Xie, Shusen and Hongfei, Fu},
title = {Two Decoupled and Linearized Block-Centered Finite Difference Methods for the Nonlinear Symmetric Regularized Long Wave Equation},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2024},
volume = {21},
number = {2},
pages = {244--267},
abstract = {<p style="text-align: justify;">In this paper, by introducing a new flux variable, two decoupled and linearized block-centered finite difference methods are developed and analyzed for the nonlinear symmetric regularized long wave equation, where the two-step backward difference formula and Crank-Nicolson
temporal discretization combined with linear extrapolation technique are employed. Under a reasonable time stepsize ratio restriction, i.e., $∆t=o(h^{1/4}),$ second-order convergence for both the
primal variable and its flux are rigorously proved on general non-uniform spatial grids. Moreover, based upon the convergence results and inverse estimate, stability of two methods are also
demonstrated. Ample numerical experiments are presented to confirm the theoretical analysis.</p>},
issn = {2617-8710},
doi = {https://doi.org/10.4208/ijnam2024-1010},
url = {https://global-sci.com/article/91057/two-decoupled-and-linearized-block-centered-finite-difference-methods-for-the-nonlinear-symmetric-regularized-long-wave-equation}
}