Asymptotic Expression and Extrapolation of Tension Spline Collocation for Two-point Boundary Value Problem of Second-order Linear Ordinary Differential Equation

Han Guoqiang

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Asymptotic Expression and Extrapolation of Tension Spline Collocation for Two-point Boundary Value Problem of Second-order Linear Ordinary Differential Equation

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- Asymptotic Expression and Extrapolation of Tension Spline Collocation for Two-point Boundary Value Problem of Second-order Linear Ordinary Differential Equation
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 25, Issue 1, Pages: 90-93(1986)
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- Published：1986，
  
  Published Online：25 January 1986，
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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 25(1):90-93(1986)
DOI：

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 25(1):90-93(1986) DOI：

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.

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