PIMOL: A New Semi-analytical Method Based on the Finite Difference Method of Lines and the Precise Integration Method

被引：1
|
作者：
Xu, Yongjun [1 ]
机构：
[1] Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, Beijing 100190, Peoples R China
来源：
ACTA MECHANICA SOLIDA SINICA | 2020年 / 33卷 / 03期
关键词：
PIMOL; ODE; FDMOL; PIM; Poisson's equation; Semi-analytical; Semi-discrete; COMPLETE EIGEN-SOLUTIONS; MULTI-MATERIALS; NOTCHES; STRESS;
D O I：
10.1007/s10338-019-00151-1
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
The aim of this paper is to introduce a new semi-analytical method, namely PIMOL (precise integration method of lines, the parametric finite difference method of lines based on the precise integration method), which is developed and used to solve the ordinary differential equation (ODEs) systems based on the finite difference method of lines and the precise integration method (PIM). Two examples of Poisson's equation problems are given: a boundary value problem and an ODE eigenvalue problem. The PIMOL can effectively reduce a semi-discrete ODE problem to a linear algebraic matrix equation. Numerical results show that the PIMOL is a powerful method.
引用
收藏
页码：381 / 391
页数：11
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