A simple efficient method for solving sixth-order nonlinear boundary value problems

被引:6
作者
Dang Quang A [1 ]
Dang Quang Long [2 ]
机构
[1] VAST, Ctr Informat & Comp, 18 Hoang Quoc Viet, Hanoi, Vietnam
[2] VAST, Inst Informat Technol, 18 Hoang Quoc Viet, Hanoi, Vietnam
关键词
Sixth-order boundary value problem; Existence and uniqueness of solution; Positivity of solution; Iterative method; NUMERICAL-SOLUTION;
D O I
10.1007/s40314-018-0643-1
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we propose a simple efficient method for a sixth-order nonlinear boundary value problem. It is based on the reduction of the problem to an operator equation for the right-hand-side function. The existence and uniqueness of a solution and its positivity are established. An iterative method for finding the solution is investigated. A numerical realization of the iterative method with the use of a difference scheme of sixth-order accuracy shows the efficiency and advantages of the proposed method over some other methods.
引用
收藏
页码:16 / 26
页数:11
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