ASYMPTOTIC EXPRESSIONS AND EXTRAPOLATIONS OF TENSION SPLINE COLLOCATION FOR SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS
二阶常微分方程张力样条配置解的渐近式及其外推算法

In this paper, the tension spline collocation for three types of boundary value problems ofsecond-order ordinary differential equations is discussed. Asymptotic expressions of errors areobtained. By using these asymptotic expressions, Richardson extrapolation can be done and theaccuracy of solution can be improved. Numerical results agree with theory.