标题:Phase-fitted, six-step methods for solving x '' = f(t,x)
作者:Liu, Chenglian; Hsu, Chieh-Wen; Simos, T. E.; Tsitouras, Ch.
作者机构:[Liu, Chenglian] Neusoft Inst Guangdong, Dept Comp Sci & Technol, Foshan 528228, Peoples R China.; [Hsu, Chieh-Wen] Zhaoqing Univ, Econ & Management 更多
通讯作者:Simos, TE;Simos, TE
通讯作者地址:[Simos, TE]10 Konitsis St, GR-17564 Athens, Greece.
来源:MATHEMATICAL METHODS IN THE APPLIED SCIENCES
出版年:2019
卷:42
期:11
页码:3942-3949
DOI:10.1002/mma.5623
关键词:initial value problem; multistep; phase-lag; variable coefficients
摘要:An explicit, six-step method of sixth order is presented and tuned for the numerical solution of x '' = f(t,x). This method is explicit, hybrid, and uses two function evaluations (stages) per step. Its coefficients are varied and depend on the step size. This variance comes from the demand of the method to nullify the phase errors produced when solving the standard simple oscillator. The first and second derivative of this error vanish also. Numerical tests in a set of relevant problems illustrate the efficiency of the newly derived method.
收录类别:EI;SCIE
资源类型:期刊论文
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