Results 21 to 30 of about 1,965 (46)

The Cauchy problem for a system of the hyperbolic differential equations of the n-th order with the nonmultiple characteristics

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2017
In the paper the Cauchy problem is considered for the hyperbolic differential equation of the n-th order with the nonmultiple characteristics. The regular solution of the Cauchy problem for the hyperbolic differential equation of the n-th order with the ...
Aleksandr A Andreev, Julia O Yakovleva
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The numerical solution of the nonlinear hyperbolic-parabolic heat equation

Discrete and Continuous Models and Applied Computational Science
The article discusses a mathematical model and a finite-difference scheme for the heating process of an infinite plate. The disadvantages of using the classical parabolic heat equation for this case and the rationale for using the hyperbolic heat ...
Vladislav N. Khankhasaev, Safron A. Bairov   +1 more
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Singular solitons in the pseudo-parabolic model arising in nonlinear surface waves

Results in Physics, 2019
This manuscript aims to construct a family of travelling wave solutions to the high nonlinearity differential equation for obtaining new hyperbolic function solutions by using an analytical method, which is based on the exponential function.
Onur Alp Ilhan, Alaattin Esen, Hasan Bulut, Haci Mehmet Baskonus   +3 more
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The Boundary Value Problem with Stationary Inhomogeneities for a Hyperbolic-Type Equation with a Fractional Derivative

Axioms, 2022
The paper presents an analytical solution of a partial differential equation of hyperbolic-type, containing both second-order partial derivatives and fractional derivatives of order below the second.
Ludmila Vladimirovna Kirianova
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A Note on the Second Order of Accuracy Stable Difference Schemes for the Nonlocal Boundary Value Hyperbolic Problem

Abstract and Applied Analysis, 2012
The second order of accuracy absolutely stable difference schemes are presented for the nonlocal boundary value hyperbolic problem for the differential equations in a Hilbert space H with the self-adjoint positive definite operator A.
Allaberen Ashyralyev, Ozgur Yildirim
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One characteristic problem for the general hyperbolic differential equation of the third order with nonmultiple characteristics

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012
In the paper we consider the well-posed characteristic problem for the general hyperbolic differential equation of the third order with nonmultiple characteristics. The solution of this problem is constructed in an explicit form. The illustrative example
Julia O Yakovleva
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A new spline in compression method of order four in space and two in time based on half-step grid points for the solution of the system of 1D quasi-linear hyperbolic partial differential equations

Advances in Difference Equations, 2017
In this paper, we propose a new three-level implicit method based on a half-step spline in compression method of order two in time and order four in space for the solution of one-space dimensional quasi-linear hyperbolic partial differential equation of ...
RK Mohanty, Gunjan Khurana
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Local and Global Stability of Certain Mixed Monotone Fractional Second Order Difference Equation with Quadratic Terms

Axioms, 2021
This paper investigates the local and global character of the unique positive equilibrium of a mixed monotone fractional second-order difference equation with quadratic terms.
Mirela Garić-Demirović, Sabina Hrustić, Zehra Nurkanović   +2 more
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A survey on well-balanced and asymptotic preserving schemes for hyperbolic models for chemotaxis

ESAIM: Proceedings and Surveys, 2018
Chemotaxis is a biological phenomenon widely studied these last years, at the biological level but also at the mathematical level. Various models have been proposed, from microscopic to macroscopic scales.
Ribot Magali
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Cauchy problem for a linear hyperbolic equation of the second order

Mathematical Modelling and Analysis, 2006
The definition of hyperbolic equation by a prescribed vector field is introduced for linear differential equation of the second order. The Cauchy problem with prescribed boundary conditions is considered for such equations.
V. I. Korzyuk, E.S. Cheb
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