A new quintic spline method for integro interpolation and its error analysis (Q1662627)
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scientific article; zbMATH DE number 6920577
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new quintic spline method for integro interpolation and its error analysis |
scientific article; zbMATH DE number 6920577 |
Statements
A new quintic spline method for integro interpolation and its error analysis (English)
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20 August 2018
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Summary: In this paper, to overcome the innate drawbacks of some old methods, we present a new quintic spline method for integro interpolation. The method is free of any exact end conditions, and it can reconstruct a function and its first order to fifth order derivatives with high accuracy by only using the given integral values of the original function. The approximation properties of the obtained integro quintic spline are well studied and examined. The theoretical analysis and the numerical tests show that the new method is very effective for integro interpolation.
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quintic spline
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integral value
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integro interpolation
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artificial end condition
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error analysis
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