Results 61 to 70 of about 290,072 (190)

The Characteristics of the First Kind of Chebyshev Polynomials and its Relationship to the Ordinary Polynomials

open access: yesJTAM (Jurnal Teori dan Aplikasi Matematika), 2021
In this article, we discuss the Chebyshev Polynomial and its characteristics. The second order difference equation and the process obtaining the explicit solution of the Chebyshev polynomial have been given for each real number.
Ikhsan Maulidi   +3 more
doaj   +1 more source

Penyelesaian Persamaan Differensial Dengan Menggunakan Polinomial Lagrange Seri I (1 Dimensi) [PDF]

open access: yes, 2006
. This paper presents a numerical method for solving a differential equation by using Lagrangian Polynomial. In this method function in a differential equation is approximated with Lagrange Polynomial and then the differential of the function is ...
Hutahean, S. (Syawaluddin)
core  

Complex Centers of Polynomial Differential Equations

open access: yesElectronic Journal of Differential Equations, 2007
We present some results on the existence and nonexistence of centers for polynomial first order ordinary differential equations with complex coefficients. In particular, we show that binomial differential equations without linear terms do not complex centers.
openaire   +4 more sources

Differential Equations for Symmetric Generalized Ultraspherical Polynomials [PDF]

open access: yesTransactions of the American Mathematical Society, 1994
We look for differential equations satisfied by the generalized Jacobi polynomials { P n α , β , M , N ( x ) } n = 0 ∞
openaire   +2 more sources

Differential Polynomials Generated by Second Order Linear Differential Equations [PDF]

open access: yesJournal of Applied Analysis, 2008
Summary: We study fixed points of solutions of the differential equation \[ f^{{\prime \prime }}+A_{1}( z) f^{{\prime }}+A_{0}(z) f=0, \] where \(A_{j}(z) ( \not\equiv 0)\), \(j=0, 1\), are transcendental meromorphic functions with finite order. Instead of looking at the zeros of \(f( z)-z\), we proceed to a slight generalization by considering zeros ...
Belaïdi, B., El Farissi, Abdallah
openaire   +2 more sources

Constructing the Lyapunov Function through Solving Positive Dimensional Polynomial System

open access: yesJournal of Applied Mathematics, 2013
We propose an approach for constructing Lyapunov function in quadratic form of a differential system. First, positive polynomial system is obtained via the local property of the Lyapunov function as well as its derivative.
Zhenyi Ji   +3 more
doaj   +1 more source

Differential equations associated with lambda-Changhee polynomials

open access: yesJournal of Nonlinear Sciences and Applications, 2016
Summary: In this paper, we study linear differential equations arising from \(\lambda\)-Changhee polynomials (or called degenerate Changhee polynomials) and give some explicit and new identities for the \(\lambda\)-Changhee polynomials associated with linear differential equations.
Kim, T.   +3 more
openaire   +3 more sources

Approximate Constrained Lumping of Polynomial Differential Equations

open access: yes, 2023
In life sciences, deriving insights from dynamic models can be challenging due to the large number of state variables involved. To address this, model reduction techniques can be used to project the system onto a lower-dimensional state space. Constrained lumping can reduce systems of ordinary differential equations with polynomial derivatives up to ...
Leguizamon-Robayo A.   +4 more
openaire   +2 more sources

On one method for solving transient heat conduction problems with asymmetric boundary conditions

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2016
Using additional boundary conditions and additional required function in integral method of heat-transfer we obtain approximate analytical solution of transient heat conduction problem for an infinite plate with asymmetric boundary conditions of the ...
Igor V Kudinov   +4 more
doaj   +1 more source

The classification of all single travelling wave solutions to Calogero-Degasperis-Focas equation

open access: yes, 2006
Under the travelling wave transformation, Calogero-Degasperis-Focas equation was reduced to an ordinary differential equation. Using a symmetry group of one-parameter, this ODE was reduced to a second order linear inhomogeneous ODE.
B. Li   +12 more
core   +1 more source

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