Publication: Numerical computation of the p-th derivative of a function
Abstract
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Recently efforts have been made to compute first and second derivatives of a function numerically when it’s values are known in a specific interval. In the derivation mainly Chebyshev polynomials and Lagrange interpolation were used by M.T.Rashed. In this study, a generalized form is reached for the p-th derivative of a function. Thus encoding of the method on personal computer and finding solutions can be easily done. Method is applied to different examples are made and advantages and disadvantages are indicated.
Recently efforts have been made to compute first and second derivatives of a function numerically when it’s values are known in a specific interval. In the derivation mainly Chebyshev polynomials and Lagrange interpolation were used by M.T.Rashed. In this study, a generalized form is reached for the p-th derivative of a function. Thus encoding of the method on personal computer and finding solutions can be easily done. Method is applied to different examples are made and advantages and disadvantages are indicated.