Quintic spline solutions of boundary value problems
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Publication:1143141
DOI10.1016/0898-1221(80)90028-0zbMath0441.65060OpenAlexW2078156672MaRDI QIDQ1143141
Publication date: 1980
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0898-1221(80)90028-0
numerical exampletwo-point boundary value problemorder of convergenceincreased accuracyNoumerov's finite difference procedurequintic spline functions
Spline approximation (41A15) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)
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Cites Work
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- A method of high-order accuracy for the numerical integration of boundary value problems
- On a Finite Difference Analogue of an Elliptic Boundary Problem which is Neither Diagonally Dominant Nor of Non‐negative Type
- Piecewise Cubic Interpolation and Two-Point Boundary Problems
- Properties of Some Tridiagonal Matrices and Their Application to Boundary Value Problems
- Cubic spline solutions to two-point boundary value problems
- Bounds for the Solution of the Sturm-Liouville Problem with Application to Finite Difference Methods
