Results 61 to 70 of about 1,239,411 (205)

Developing a Series Solution Method of -Difference Equations

Journal of Applied Mathematics, 2013
The series solution is widely applied to differential equations on but is not found in -differential equations. Applying the Taylor and multiplication rule of two generalized polynomials, we develop a series solution of linear homogeneous -difference ...
Hsuan-Ku Liu
doaj   +1 more source

Faster approximation to multivariate functions by combined Bernstein-Taylor operators

Demonstratio Mathematica
In this article, we incorporate multivariate Taylor polynomials into the definition of the Bernstein operators to get a faster approximation to multivariate functions by these combined operators.
Duman Oktay
doaj   +1 more source

A Subdivision Solver for Systems of Large Dense Polynomials [PDF]

, 2016
We describe here the package {\tt subdivision\\_solver} for the mathematical software {\tt SageMath}. It provides a solver on real numbers for square systems of large dense polynomials.
Imbach, Rémi
core   +3 more sources

Series Solution of Discrete Time Stochastic Optimal Control Problems [PDF]

, 2019
In this paper we consider discrete time stochastic optimal control problems over infinite and finite time horizons. We show that for a large class of such problems the Taylor polynomials of the solutions to the associated Dynamic Programming Equations ...
Krener, Arthur J
core   +1 more source

Bi-univalent characteristics for a particular class of Bazilevič functions generated by convolution using Bernoulli polynomials

Arab Journal of Basic and Applied Sciences
Special functions and special polynomials have been used and studied widely in the context of Geometric function theory of Complex Analysis by the many authors.
G. Saravanan, S. Baskaran, Jihad Younis, Bilal Khan, Musthafa Ibrahim   +4 more
doaj   +1 more source

A method for increasing the order of approximation to an arbitrary natural number by the numerical integration of boundary value problems for inhomogeneous linear ordinary differential equations of various degrees with variable coefficients by the matrix method

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020
The paper includes the well-known matrix method of numerical integration of boundary value problems for inhomogeneous linear ordinary differential equations with variable coefficients, which provides retaining an arbitrary number of Taylor series ...
Vladimir Nikolaevich Maklakov
doaj   +1 more source

A New Decomposition Method for Integro-Differential Equations

Cumhuriyet Science Journal, 2022
This present study developed a new Modified Adomian Decomposition Method (MADM) for integro-differential equations. The modification was carried out by decomposing the source term function into series.
Kabiru Kareem, Morufu Oyedunsi Olayiwola
doaj   +1 more source

Lagrange inversion formula, Laguerre polynomials and the free unitary Brownian motion

, 2016
This paper is devoted to the computations of some relevant quantities associated with the free unitary Brownian motion. Using the Lagrange inversion formula, we first derive an explicit expression for its alternating star cumulants of even lengths and ...
Demni, Nizar
core   +3 more sources

Computational Algorithm for Covariant Series Expansions in General Relativity

EPJ Web of Conferences, 2018
We present a new algorithm for computing covariant power expansions of tensor fields in generalized Riemannian normal coordinates, introduced in some neighborhood of a parallelized k-dimensional submanifold (k = 0, 1, . . .< n; the case k = 0 corresponds
Potashov Ivan, Tsirulev Alexander
doaj   +1 more source

Valuing Exchange Options under an Ornstein-Uhlenbeck Covariance Model

International Journal of Financial Studies, 2023
In this paper we study the pricing of exchange options between two underlying assets whose dynamic show a stochastic correlation with random jumps. In particular, we consider a Ornstein-Uhlenbeck covariance model, with Levy Background Noise Processes ...
Enrique Villamor, Pablo Olivares
doaj   +1 more source