Single step formulas and multi-step formulas of the integration method for solving the initial value problem of ordinary differential equation

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摘要

Adam–Bashforth method and Adam–Moulton method are two known multi-step methods for finding the numerical solution of the initial value problem of ordinary differential equation. These two methods used the Newton backward difference method to approximate the value of in the integral equation which is equivalent to the given differential equation.

论文关键词:Single step,Multi step,Newton backward,Adam–Bashforth,Adam–Moulton,Newton–Cotes,Integration method,Initial value problem

论文评审过程:Available online 20 February 2007.

论文官网地址:https://doi.org/10.1016/j.amc.2007.02.024