【摘要】 研究如下一类p-Laplace方程多点边值问题的数值计算方法(Φ_p(u′))′+f(t,u)=0,t∈(0,1),u′(0)=sum from 1 to (m-2)(b_iu′(ξ_i)),u(1)=sum from 1 to (m-2)(a_iu(ξ_i)).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.更多还原

【Abstract】 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 (Φ_p(u′))′+f(t,u)=0,t∈(0,1),u′(0)=sum 1 to (m-2)(b_iu′(ξ_i)),u(1)=sum 1 to (m-2)(a_iu(ξ_i)).We constructed a difference scheme for this kind of equations and investigated its error estimate, and also implemented some numerical experiments, which illustrates the validity of the scheme.更多还原