摘要
讨论用配位法求一种非线性奇异积分方程的数值解。针对不同的可解条件,分别用Lagrange插值和有理插值将原方程离散为代数方程,通过求解此代数方程得到数值解和逼近解。最后将所得结果与已有的解析解的表达式进行比较。
The collocation method is considered for the numerical solutions of one class of nonlinear singular integral equation.Varied with the solvable conditions,Lagrange or rational interpolation method is applied to discretize the equation respectively.Then both the numerical solutions and the approximate solutions of the nonlinear singular integral equation are obtained by solving the discrete equations,which is also discussed to compared to the analytic solutions.
出处
《天津职业技术师范大学学报》
2012年第1期29-31,40,共4页
Journal of Tianjin University of Technology and Education
关键词
非线性奇异积分方程
数值解法
配位法
LAGRANGE插值
nonlinear singular integral equation
unmerical method
collocation methods
Lagrange interpolation
