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Computational Physics. Matlab. With. ( Interpolation and Curve Fitting ). Prof. Muhammad Saeed. Interpolation.  Evenly Spaced Data. a) Newton-Gregory Forward Formula.  Unevenly Spaced Data. a) Lagrange Polynomials (Cubic). b) Divided Difference. c) Cubic Spline.

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Computational physics

Computational Physics

Matlab

With

( Interpolation and Curve Fitting )

Prof. Muhammad Saeed


Interpolation

Evenly Spaced Data

  • a) Newton-Gregory Forward Formula

M.Sc. Physics


Unevenly Spaced Data

  • a) Lagrange Polynomials (Cubic)

  • b) Divided Difference

M.Sc. Physics


For condition 1 (Natural Spline):

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2. Curve Fitting

Least-Squares Approximations

y= a

Functions to Fit

1) y = mx+c

2) Polynomial

2) y = aebx

3) y = a log(x) + b

4) y = axb

5)

6) y = ax2 +bx

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a) Polynomial Fit

The Best Fit is determined by the minimum value of

M.Sc. Physics


Problem:

Weight to Height Ratio of Human Beings

Use

as mathematical model

W=aHb

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b) Line Regression

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c) Polynomial Regression

‘m’ is the degree of polynomial

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End

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