Interpreting Cubic Spline Coefficients for spline(theta, R)

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SUMMARY

The discussion focuses on interpreting cubic spline coefficients generated by the MATLAB function spline(theta, R). The output includes a form of 'pp', breaks at [0.5000, 1], and coefficients [-1.9538, 1.1125, 0.8415]. The user, Dan, expresses confusion regarding the interpretation of these coefficients, initially assuming they represented a polynomial in standard form. The conversation also touches on using splines to solve differential equations.

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  • Understanding of cubic splines and their properties
  • Familiarity with MATLAB and its spline functions
  • Basic knowledge of polynomial equations and their forms
  • Concepts of differential equations and numerical methods
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This discussion is beneficial for data analysts, mathematicians, and engineers who are working with spline interpolation in MATLAB, particularly those interested in numerical methods for solving differential equations.

danago
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>> spline(theta, R)

ans =

form: 'pp'
breaks: [0.5000 1]
coefs: [-1.9538 1.1125 0.8415]
pieces: 1
order: 3
dim: 1

theta and R are of equal size and contain the points i want to fit to a spline.

What really has me perplexed is the coefficients that are produced. How do i interpret these coefficients; I originally assumed that they were the coefficients of a polynomial in standard form, however after plugging in my original values to check i have found that this is clearly not the case.

Any help? :smile:

Thanks in advance.
Dan.
 
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I need to know how could we solve differential equation using concept of splines
 

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