A note on the Taylor’s decomposition on four points for a third-order differential equation

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摘要

Taylor’s decomposition on four points is presented. Three-step difference schemes generated by the Taylor’s decomposition on four points for the numerical solutions of an initial-value problem, a boundary-value problem and a nonlocal boundary-value problem for a third-order differential equation are constructed. Numerical examples are given.

论文关键词:Taylor’s decomposition on four points,Third-order differential equation,Three-step difference schemes,Approximation order

论文评审过程:Available online 13 December 2006.

论文官网地址:https://doi.org/10.1016/j.amc.2006.11.017