TY - JOUR
T1 - Iterative Method for Solving a Problem with Mixed Boundary Conditions for Biharmonic Equation
AU - Dang , Quang A
AU - Son , Le Tung
JO - Advances in Applied Mathematics and Mechanics
VL - 5
SP - 683
EP - 698
PY - 2009
DA - 2009/01
SN - 1
DO - http://doi.org/10.4208/aamm.09-m0925
UR - https://global-sci.org/intro/article_detail/aamm/8391.html
KW - Iterative method, biharmonic equation, mixed boundary conditions.
AB - <p style="text-align: justify;">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.</p>