Results 31 to 40 of about 1,459,968 (190)
On Critical Behaviour in Systems of Hamiltonian Partial Differential Equations [PDF]
, 2015 We study the critical behaviour of solutions to weakly dispersive Hamiltonian systems considered as perturbations of elliptic and hyperbolic systems of hydrodynamic type with two components.
Klein, Christian +12 more
core +1 more source
The numerical solution of the nonlinear hyperbolic-parabolic heat equation
Discrete and Continuous Models and Applied Computational ScienceThe 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 +1 more
doaj +1 more source
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 +3 more
doaj +1 more source
Conditional Symmetries and Riemann Invariants for Hyperbolic Systems of PDEs [PDF]
, 2007 This paper contains an analysis of rank-k solutions in terms of Riemann invariants, obtained from interrelations between two concepts, that of the symmetry reduction method and of the generalized method of characteristics for first order quasilinear ...
Huard, Benoit, Grundland, A. Michel
core +1 more source
On Hyperbolic Differential Equation with Periodic Control Initial Condition [PDF]
, 2022 The aim of this paper to study the existence solution of some types of hyperbolic differential equation with periodicity of some controls function as nonlocal initial condition for the equation and the technical and used depended on some interest ...
Zainab Abdel Ameer, Sameer Qasim Hasan
core +1 more source
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
doaj +1 more source
Global solutions to a quasilinear hyperbolic equation [PDF]
, 2020 This article concerns the existence and decay of solutions of a mixed problem for a quasilinear hyperbolic equation which has its motivation in a mathematical model that describes the nonlinear vibrations of the cross-section of a bar ...
Miranda, Manuel M. +3 more
core +1 more source
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
doaj +1 more source
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
doaj +1 more source
Hyperbolic Equations with Unknown Coefficients [PDF]
Symmetry, 2020 We study the solvability of nonlinear inverse problems of determining the low order coefficients in the second order hyperbolic equation. The overdetermination condition is specified as an integral condition with final data. Existence and uniqueness theorems for regular solutions are proved (i.e., for solutions having all weak derivatives in the sense ...
openaire +1 more source