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Guo, G., Lü, S. and Liu, B. (2015) Unconditional Stability of Alternating Difference Schemes with Variable Time Steplengthes for Dispersive Equation. Applied Mathematics and Computation, 262, 249-259.
https://doi.org/10.1016/j.amc.2015.04.037

has been cited by the following article:

• TITLE: The Alternating Group Explicit Iterative Method for the Regularized Long-Wave Equation

  AUTHORS: Anqi Xie, Xiaojia Ye, Guanyu Xue

  KEYWORDS: RLW Equation, AGE Iterative Method, Parallelism, Convergence

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.12 No.1, January 22, 2024

  ABSTRACT: An Alternating Group Explicit (AGE) iterative method with intrinsic parallelism is constructed based on an implicit scheme for the Regularized Long-Wave (RLW) equation. The method can be used for the iteration solution of a general tridiagonal system of equations with diagonal dominance. It is not only easy to implement, but also can directly carry out parallel computation. Convergence results are obtained by analysing the linear system. Numerical experiments show that the theory is accurate and the scheme is valid and reliable.