Numerical Differentiation

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Presentation transcript:

Numerical Differentiation Fisika Komputasi Numerical Differentiation

The Taylor Series (1) f (x) f (x0) x x0

The Taylor Series Nilai fungsi pada titik x0+Dx (2) (3)

The Taylor Series

Numerical Differentiation the forward Taylor series expansion the first forward difference h is called the step size

Numerical Differentiation Backward Difference Approximation of the First Derivative

Numerical Differentiation Centered Difference Approximation of the First Derivative

Numerical Differentiation

Numerical Differentiation

Numerical Differentiation

Numerical Differentiation

Derivative from difference tables

Derivative from difference tables

Derivative from difference tables

Numerical Differentiation

Numerical Differentiation

Numerical Differentiation