Generalized Numerical Differentiation Method for Stability Calculation of Periodic Delayed Differential Equation: Application for Variable Pitch Cutter in Milling

2020 ◽  
Vol 21 (11) ◽  
pp. 2027-2039
Author(s):  
Ding Chen ◽  
XiaoJian Zhang ◽  
Han Ding
Keyword(s):  
Differential Equation ◽  
Numerical Differentiation ◽  
Stability Calculation ◽  
Variable Pitch ◽  
Differentiation Method ◽  
Delayed Differential Equation

scholarly journals On the link between finite difference and derivative of polynomials

2017 ◽  
Author(s):  
Kolosov Petro
Keyword(s):  
Differential Equation ◽  
Ordinary Differential Equation ◽  
Partial Differential Equation ◽  
Finite Difference ◽  
Differential Calculus ◽  
Divided Difference ◽  
Applied Mathematics ◽  
Numerical Differentiation ◽  
Discrete Analog ◽  
Derivatives Of

The main aim of this paper to establish the relations between forward, backward and central finite (divided) differences (that is discrete analog of the derivative) and partial & ordinary high-order derivatives of the polynomials.MSC 2010: 46G05, 30G25, 39-XXarXiv:1608.00801Keywords: Finite difference, Derivative, Divided difference, Ordinary differential equation, Partial differential equation, Partial derivative, Differential calculus, Difference Equations, Numerical Differentiation, Finite difference coefficient, Polynomial, Power function, Monomial, Exponential function, Exponentiation, arXiv, Preprint, Calculus, Mathematics, Mathematical analysis, Numerical methods, Applied Mathematics

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