Nonlinear Analyses by Using the ORCM

Journal of Computational Science and Technology

Yong-Ming GUO¹  Shunpei KAMITANI¹  Hirotaka OSAKO¹ 

[1]Graduate School of Science and Engineering, Kagoshima University

关键词: Nonlinear Problem;    Meshless Method;    Collocation Method;    Positivity Conditions;    Over-Range Points;   

DOI  :  10.1299/jcst.7.114

学科分类：地球科学(综合)

来源: Japan Academy

【 摘 要 】

References(15)Cited-By(4)In this paper, nonlinear boundary value problems are analyzed by using the over-range collocation method (ORCM). By introducing some collocation points, which are located at outside of domain of the analyzed body, unsatisfactory issue of the positivity conditions of boundary points in collocation methods can be avoided. Quite accurate numerical results of the nonlinear partial differential equations have been obtained. Because the ORCM does not demand any specific type of partial differential equations, it shows promise of wide engineering applications of the ORCM.

【 授权许可】

Unknown