Determination of Reaction Rates by the Use of Cubic Spline Interpolation

1972 ◽  
Vol 57 (5) ◽  
pp. 2178-2183 ◽  
Author(s):  
Lawrence G. Dunfield ◽  
John F. Read
Keyword(s):  
Spline Interpolation ◽  
Reaction Rates ◽  
Cubic Spline ◽  
Cubic Spline Interpolation

scholarly journals Spline-Based Formulas for the Determination of Equation of Time and Declination Angle

2011 ◽  
Vol 2011 ◽  
pp. 1-5
Author(s):  
Fawzi Al-Naima ◽  
Bilal Abdul Majeed
Keyword(s):  
Spline Interpolation ◽  
Absolute Error ◽  
Cubic Spline ◽  
Analytical Evaluation ◽  
Maximum Absolute Error ◽  
Cubic Spline Interpolation ◽  
Approximation Formulas ◽  
Declination Angle ◽  
Equation Of Time

This paper presents new approximation formulas for the determination of the equation of time and declination angle. The proposed approach is based on the cubic spline interpolation techniques defined for sixteen or twenty chosen knots over the whole year. The results obtained by the proposed formulas for both equation of time and declination angle show marked improvements in terms of speed and sum of squared errors and maximum absolute error over the whole year in comparison with other five existing methods for analytical evaluation of equation of time and two existing methods for analytical evaluation of declination angle.

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