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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.  Unevenly Spaced Data. a) Lagrange Polynomials (Cubic). b) Divided Difference. c) Cubic Spline.

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Computational Physics

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  1. Computational Physics Matlab With ( Interpolation and Curve Fitting ) Prof. Muhammad Saeed

  2. Interpolation Evenly Spaced Data • a) Newton-Gregory Forward Formula M.Sc. Physics

  3. Unevenly Spaced Data • a) Lagrange Polynomials (Cubic) • b) Divided Difference M.Sc. Physics

  4. c) Cubic Spline For condition 1 (Natural Spline): M.Sc. Physics

  5. 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 M.Sc. Physics

  6. a) Polynomial Fit The Best Fit is determined by the minimum value of M.Sc. Physics

  7. Problem: Weight to Height Ratio of Human Beings Use as mathematical model W=aHb M.Sc. Physics

  8. b) Line Regression M.Sc. Physics

  9. c) Polynomial Regression ‘m’ is the degree of polynomial M.Sc. Physics

  10. End M.Sc. Physics

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