Asymptotic Expression and Extrapolation of Tension Spline Collocation for Two-point Boundary Value Problem of Second-order Linear Ordinary Differential Equation
Han Guoqiang. Asymptotic Expression and Extrapolation of Tension Spline Collocation for Two-point Boundary Value Problem of Second-order Linear Ordinary Differential Equation[J]. Acta Scientiarum Naturalium Universitatis SunYatseni, 1986,25(1):90-93.
Han Guoqiang. Asymptotic Expression and Extrapolation of Tension Spline Collocation for Two-point Boundary Value Problem of Second-order Linear Ordinary Differential Equation[J]. Acta Scientiarum Naturalium Universitatis SunYatseni, 1986,25(1):90-93.DOI:
二阶线性常微分方程张力样条配置解的渐近表示及其外推
摘要
Abstract
Tension spline collocation for two-point boundary value problems of second-order linear ordinary differential equation are discussed.Asymptotic expressionsof error are also obtained.By using these asymptotic expressions
Richardsonextrapolation can be done and accuracy of solution can be improved.Numericalresults agree with theory.