研究如下一类p-Laplace方程多点边值问题的数值计算方法: (Фp(u'))'+f(t,u)=0, t∈(0,1), u'(0)=^m-2 ∑ i=1 biu'(ξi), u(1)=^m-2 ∈i=1 ai u(ξi). 构造一类差分格式,并对该差分格式进行误差分析和数值实验.结果表明,所给出的计算方法有效.
The present paper deals with the numerical computation method for a class of p-Laplace equations with multi-point boundary value conditions which are widely applied to many fields (Фp(u'))'+f(t,u)=0, t∈(0,1), u'(0)=^m-2 ∑ i=1 biu'(ξi), u(1)=^m-2 ∈i=1 ai u(ξi).We constructed a difference scheme for this kind of equations and invesngated ~ts error esnmate, ana also implemented some numerical experiments, which illustrates the validity of the scheme.