Results 31 to 40 of about 1,450,703 (382)

A formula for complex zonal polynomials of second order

Revista de Matemática: Teoría y Aplicaciones, 2009
A formula for complex zonal polynomials of second order is derived by solving a particular partial differential equation. Keywords: Laplace-Beltrami operator, zonal polynomials, Hermitian matrix, Legendre’s differential equation.
Francisco J. Caro Lopera, Graciela González Farías, José A. Díaz García   +2 more
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Numerical inverse Laplace transform based on Bernoulli polynomials operational matrix for solving nonlinear differential equations

Results in Physics, 2020
A numerical inverse Laplace transform method is established using Bernoulli polynomials operational matrix of integration. The efficiency of the method is demonstrated through some standard nonlinear differential equations: Duffing equation, Van der Pol ...
Dimple Rani, Vinod Mishra
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A Prufer Transformation for Matrix Differential Equations [PDF]

Proceedings of the American Mathematical Society, 1957
Presented to the Society, December, 1955 under the title A necessary condition for nonoscillation of a system of second order differential equations, and August, 1956; received by the editors August 2, 1956. 1 These results were obtained while the author held a National Science Foundation grant, NSF-G1825 and was at Yale University.
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Extended block Hessenberg method for large-scale Sylvester differential matrix equations [PDF]

Journal of Mahani Mathematical Research
In this paper, we consider large-scale low-rank Sylvester differential matrix equations. We present two iterative methods for the approximate solution of such differential matrix equations. In the first method, exploiting the extended block Krylov method,
Azita Tajaddini
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Inverse properties of a class of seven-diagonal (near) Toeplitz matrices

Special Matrices, 2021
This paper presents the explicit inverse of a class of seven-diagonal (near) Toeplitz matrices, which arises in the numerical solutions of nonlinear fourth-order differential equation with a finite difference method.
Kurmanbek Bakytzhan, Erlangga Yogi, Amanbek Yerlan   +2 more
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Asymptotically almost periodic solutions for certain differential equations with piecewise constant arguments

Advances in Difference Equations, 2020
It is well known that differential equations with piecewise constant arguments is a class of functional differential equations, which has fascinated many scholars in recent years.
Zonghong Feng, Yong Wang, Xin Ma
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Combining a fractional diffusion equation and a fractional viscosity-based magneto dynamic model to simulate the ferromagnetic hysteresis losses

AIP Advances, 2022
Magnetic losses in a laminated ferromagnetic core have been studied for years. However, magnetization mechanisms are complex, and the ideal model is still lacking.
B. Ducharne, G. Sebald
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Dynamic solutions of linear matrix differential equations [PDF]

Quarterly of Applied Mathematics, 1990
We discuss the m m th-order linear differential equation with matrix coefficients in terms of a particular matrix solution that enjoys properties similar to the exponential of first-order equations. A new formula for the exponential matrix is established with dynamical solutions related to the generalized Lucas polynomials.
Ruiz Claeyssen, Julio Cesar, Tsukazan, Teresa   +1 more
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Finding of roots of the matrix transcendental characteristic equation using Lambert W function

Lietuvos Matematikos Rinkinys, 2011
The method of finding roots of the matrix transcendental characteristic equation, corresponding to linear matrix differential equation with delayed argument, is analyzed. The examples of the application of the method are presented.
Irma Ivanovienė, Jonas Rimas
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Barycentric Interpolation Collocation Method for Solving Fractional Linear Fredholm-Volterra Integro-Differential Equation

Journal of Function Spaces, 2023
In this article, barycentric interpolation collocation method (BICM) is presented to solve the fractional linear Fredholm-Volterra integro-differential equation (FVIDE).
Jin Li, Kaiyan Zhao, Xiaoning Su
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