Results 61 to 70 of about 290,072 (190)
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
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Penyelesaian Persamaan Differensial Dengan Menggunakan Polinomial Lagrange Seri I (1 Dimensi) [PDF]
. 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)
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Complex Centers of Polynomial Differential Equations
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.
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Differential Equations for Symmetric Generalized Ultraspherical Polynomials [PDF]
We look for differential equations satisfied by the generalized Jacobi polynomials { P n α , β , M , N ( x ) } n = 0 ∞
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Differential Polynomials Generated by Second Order Linear Differential Equations [PDF]
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
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Constructing the Lyapunov Function through Solving Positive Dimensional Polynomial System
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
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Differential equations associated with lambda-Changhee polynomials
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
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Approximate Constrained Lumping of Polynomial Differential Equations
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
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On one method for solving transient heat conduction problems with asymmetric boundary conditions
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
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The classification of all single travelling wave solutions to Calogero-Degasperis-Focas equation
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
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