IMECH-IR  > 流固耦合系统力学重点实验室
PIMOL: A New Semi-analytical Method Based on the Finite Difference Method of Lines and the Precise Integration Method
Xu YJ(徐永君)
Corresponding AuthorXu, Yongjun(yjxu@imech.ac.cn)
Source PublicationACTA MECHANICA SOLIDA SINICA
2019-10-30
Pages11
ISSN0894-9166
AbstractThe 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.
KeywordPIMOL ODE FDMOL PIM Poisson's equation Semi-analytical Semi-discrete
DOI10.1007/s10338-019-00151-1
Indexed BySCI ; EI ; CSCD
Language英语
WOS IDWOS:000493488500001
WOS KeywordCOMPLETE EIGEN-SOLUTIONS ; MULTI-MATERIALS ; NOTCHES ; STRESS
WOS Research AreaMaterials Science ; Mechanics
WOS SubjectMaterials Science, Multidisciplinary ; Mechanics
ClassificationQ3
Ranking1
ContributorXu, Yongjun
Citation statistics
Document Type期刊论文
Identifierhttp://dspace.imech.ac.cn/handle/311007/81407
Collection流固耦合系统力学重点实验室
AffiliationChinese 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,2019:11.
APA 徐永君.(2019).PIMOL: A New Semi-analytical Method Based on the Finite Difference Method of Lines and the Precise Integration Method.ACTA MECHANICA SOLIDA SINICA,11.
MLA 徐永君."PIMOL: A New Semi-analytical Method Based on the Finite Difference Method of Lines and the Precise Integration Method".ACTA MECHANICA SOLIDA SINICA (2019):11.
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