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# Computational Physics - PowerPoint PPT Presentation

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

Matlab

With

( Interpolation and Curve Fitting )

Evenly Spaced Data

• a) Newton-Gregory Forward Formula

M.Sc. Physics

Unevenly Spaced Data

• a) Lagrange Polynomials (Cubic)

• b) Divided Difference

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For condition 1 (Natural Spline):

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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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The Best Fit is determined by the minimum value of

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Weight to Height Ratio of Human Beings

Use

as mathematical model

W=aHb

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‘m’ is the degree of polynomial

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M.Sc. Physics