Iterative Method for Solving a Problem with Mixed Boundary Conditions for Biharmonic Equation  

作　　者：Dang Quang A Le Tung Son 

机构地区：[1]Institute of Information Technology 18 Hoang Quoc Viet,Cau giay,Hanoi,Vietnam [2]Pedagogic College,Thai Nguyen University,Vietnam

出　　处：《Advances in Applied Mathematics and Mechanics》2009年第5期683-698,共16页应用数学与力学进展（英文）

基　　金：support from Vietnam National Foundation for Science and Technology Development(NAFOSTED);would like to thank the referees for the helpful suggestions.

摘　　要：The solution of boundary value problems(BVP)for fourth order differential equations by their reduction to BVP for second order equations,with the aim to use the available efficient algorithms for the latter ones,attracts attention from many researchers.In this paper,using the technique developed by the authors in recent works we construct iterative method for a problem with complicated mixed boundary conditions for biharmonic equation which is originated from nanofluidic physics.The convergence rate of the method is proved and some numerical experiments are performed for testing its dependence on a parameter appearing in boundary conditions and on the position of the point where a transmission of boundary conditions occurs.

关 键 词：Iterative method biharmonic equation mixed boundary conditions 

分 类 号：O17[理学—数学]