Results 1 to 10 of about 13,388 (258)
Hyperbolic Methods for Einstein's Equations [PDF]
Living Reviews in Relativity, 1998 I review evolutionary aspects of general relativity, in particular those related to the hyperbolic character of the field equations and to the applications or consequences that this property entails.
Reula Oscar
doaj +6 more sources
Dunkl Hyperbolic Equations [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2008 We introduce and study the Dunkl symmetric systems. We prove the well-posedness results for the Cauchy problem for these systems. Eventually we describe the finite speed of it. Next the semi-linear Dunkl-wave equations are also studied.
Hatem Mejjaoli
doaj +4 more sources
Asymptotics of the solution of the hyperbolic system with a small parameter
MANAS: Journal of Engineering, 2022 Asymptotic study of singularly perturbed differential equations of hyperbolic type has received relatively little attention from researchers. In this paper, the asymptotic solution of the singularly perturbed Cauchy problem for a hyperbolic system is ...
Asan Omuraliev, Ella Abylaeva
doaj +1 more source
Nonlinear Engineering, 2023 Two numerical regimes for the one- and two-dimensional hyperbolic telegraph equations are contrasted in this article. The first implemented regime is uniform algebraic trigonometric tension B-spline DQM, while the second implemented regime is uniform ...
Kapoor Mamta
doaj +1 more source
On the Superstability of the Pexider Type Trigonometric Functional Equation
Journal of Inequalities and Applications, 2010 We will investigate the superstability of the (hyperbolic) trigonometric functional equation from the following functional equations: f(x+y)±g(x−y)=λf(x)g(y) andf(x+y)±g(x−y)=λg(x)f(y), which can be considered ...
Gwang Hui Kim
doaj +2 more sources
Demonstratio Mathematica, 2023 In this research work, we proposed a Haar wavelet collocation method (HWCM) for the numerical solution of first- and second-order nonlinear hyperbolic equations. The time derivative in the governing equations is approximated by a finite difference.
Lei Weidong +4 more
doaj +1 more source
Hyperbolic integrodifferential equations [PDF]
Proceedings of the American Mathematical Society, 1975 Hyperbolic integrodifferential equations are defined and conditions sufficient for hyperbolicity are given. The theory includes that of constant coefficient hyperbolic partial differential equations. Other examples are given.
openaire +1 more source
On the Parabolic and Hyperbolic Liouville Equations [PDF]
Communications in Mathematical Physics, 2021 AbstractWe study the two-dimensional stochastic nonlinear heat equation (SNLH) and stochastic damped nonlinear wave equation (SdNLW) with an exponential nonlinearity $$\lambda \beta e^{\beta u }$$ λ β e β
Oh, Tadahiro +2 more
openaire +5 more sources
Group Classification and Conservation Laws of a Class of Hyperbolic Equations
Abstract and Applied Analysis, 2021 s. A method for the group classification of differential equations is proposed. It is based on the determination of all possible cases of linear dependence of certain indeterminates appearing in the determining equations of symmetries of the equation ...
J. C. Ndogmo
doaj +1 more source
A Direct Meshless Method for Solving Two-Dimensional Second-Order Hyperbolic Telegraph Equations
Journal of Mathematics, 2020 In this paper, a direct meshless method (DMM), which is based on the radial basis function, is developed to the numerical solution of the two-dimensional second-order hyperbolic telegraph equations.
Fuzhang Wang, Enran Hou
doaj +1 more source