| PIMOL: A New Semi-analytical Method Based on the Finite Difference Method of Lines and the Precise Integration Method |
| Xu YJ(徐永君)
|
| Source Publication | ACTA MECHANICA SOLIDA SINICA
(IF:1.508[JCR-2018],1.41[5-Year]) |
| 2020-06
|
| Volume | 33Issue:3Pages:381-391 |
| ISSN | 0894-9166
|
| Abstract | 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. |
| Keyword | PIMOL
ODE
FDMOL
PIM
Poisson's equation
Semi-analytical
Semi-discrete
|
| DOI | 10.1007/s10338-019-00151-1
|
| Indexed By | SCI
; EI
; CSCD
|
| Language | 英语
|
| WOS ID | WOS:000493488500001
|
| WOS Keyword | COMPLETE EIGEN-SOLUTIONS
; MULTI-MATERIALS
; NOTCHES
; STRESS
|
| WOS Research Area | Materials Science
; Mechanics
|
| WOS Subject | Materials Science, Multidisciplinary
; Mechanics
|
| Classification | Q3
|
| Ranking | 1
|
| Contributor | Xu, Yongjun
|
| Citation statistics |
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| Document Type | 期刊论文
|
| Identifier | http://dspace.imech.ac.cn/handle/311007/81407
|
| Collection | 流固耦合系统力学重点实验室
|
| Affiliation | Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, Beijing 100190, Peoples R China
|
Recommended Citation
GB/T 7714 |
Xu YJ. PIMOL: A New Semi-analytical Method Based on the Finite Difference Method of Lines and the Precise Integration Method[J]. ACTA MECHANICA SOLIDA SINICA,2020,33,3,:381-391.Rp_Au:Xu, Yongjun
|
| APA |
Xu YJ.(2020).PIMOL: A New Semi-analytical Method Based on the Finite Difference Method of Lines and the Precise Integration Method.ACTA MECHANICA SOLIDA SINICA,33(3),381-391.
|
| MLA |
Xu YJ."PIMOL: A New Semi-analytical Method Based on the Finite Difference Method of Lines and the Precise Integration Method".ACTA MECHANICA SOLIDA SINICA 33.3(2020):381-391.
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