[PDF][PDF] First Derivative Approximations and Applications
In this paper we consider constructions of first derivative approximations using the
generating function. The weights of the approximations contain the powers of a parameter …
generating function. The weights of the approximations contain the powers of a parameter …
Approximations of the fractional integral and numerical solutions of fractional integral equations
Y Dimitrov - Communications on Applied Mathematics and …, 2021 - Springer
In the present paper, we derive the asymptotic expansion formula for the trapezoidal
approximation of the fractional integral. We use the expansion formula to obtain …
approximation of the fractional integral. We use the expansion formula to obtain …
Constructions of second order approximations of the Caputo fractional derivative
In the present paper we study the properties of the weights of approximations of the second
derivative and the Caputo fractional derivative. The approximations of the Caputo derivative …
derivative and the Caputo fractional derivative. The approximations of the Caputo derivative …
Generating Functions and Approximations of the Caputo Fractional Derivative
The present chapter is a continuation of the work in. We construct an approximation of order
2-α of the Caputo derivative. The approximation is related to the midpoint sum of the integral …
2-α of the Caputo derivative. The approximation is related to the midpoint sum of the integral …
Expansions on Quadrature Formulas and Numerical Solutions of Ordinary Differential Equations
This paper is a continuation of the discussion on optimization of the quadrature formulas and
their applications in paper [6]. Second-order numerical solutions of Volterra integral …
their applications in paper [6]. Second-order numerical solutions of Volterra integral …
[PDF][PDF] An Optimization on Quadrature Formulas and Numerical Solutions of Ordinary Differential Equations.
This paper is a continuation of the discussion on optimization of the quadrature formulas and
their applications in paper [2]. Second-order numerical solutions of Volterra integral …
their applications in paper [2]. Second-order numerical solutions of Volterra integral …
[PDF][PDF] Second order approximations of the Caputo derivative with variable parameters
The present paper is a continuation of the work in [1, 2]. We construct second order
approximations of the Caputo derivative whose parameters have variable values, which …
approximations of the Caputo derivative whose parameters have variable values, which …