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Representation of the Solution of Goursat Problem for Second Order Linear Stochastic Hyperbolic Differential Equations

Известия Иркутского государственного университета: Серия "Математика", 2021
The article considers second-order system of linear stochastic partial differential equations of hyperbolic type with Goursat boundary conditions. Earlier, in a number of papers, representations of the solution Goursat problem for linear stochastic ...
K.B. Mansimov, R.O. Mastaliyev
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On one solution of a periodic boundary value problem for a hyperbolic equations [PDF]

Қарағанды университетінің хабаршысы. Математика сериясы, 2023
In a rectangular domain, we consider a boundary value problem periodic in one variable for a system of partial differential equations of hyperbolic type. Introducing a new unknown function, this problem is reduced to an equivalent boundary value
T.D. Tokmagambetova, N.T. Orumbayeva
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A Reduced-Order Extrapolation Spectral-Finite Difference Scheme Based on the POD Method for 2D Second-Order Hyperbolic Equations

Mathematical Modelling and Analysis, 2017
In this study, a reduced-order extrapolation spectral-finite difference (ROESFD) scheme based on the proper orthogonal decomposition (POD) method is set up for the two-dimensional (2D) second-order hyperbolic equations.
Zhendong Luo, Shiju Jin
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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
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Discontinuous hp-Finite Element Methods for Advection-Diffusion Problems [PDF]

, 2000
We consider the hp-version of the discontinuous Galerkin finite element method for second-order partial differential equations with nonnegative characteristic form.
Houston, P., Schwab, Christoph, Suli, Endre   +2 more
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Scalar differential invariants of symplectic Monge–Ampère equations [PDF]

, 2011
All second order scalar differential invariants of symplectic hyperbolic and elliptic Monge-Ampère PDEs with respect to symplectomorphisms are explicitly computed. In particular, it is shown that the number of independent second order invariants is equal
A. M. Vinogradov, DE PARIS, ALESSANDRO
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A nonlocal problem for loaded partial differential equations of fourth order

Қарағанды университетінің хабаршысы. Математика сериясы, 2020
A nonlocal problem for the fourth order system of loaded partial differential equations is considered. The questions of a existence unique solution of the considered problem and ways of its construction are investigated.
A.T. Assanova, A.E. Imanchiyev, Z.M. Kadirbayeva   +2 more
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A comparative study for the numerical approximation of 1D and 2D hyperbolic telegraph equations with UAT and UAH tension B-spline DQM

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
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Inverse problems for general second order hyperbolic equations with time-dependent coefficients [PDF]

, 2017
We study the inverse problems for the second order hyperbolic equations of general form with time-dependent coefficients assuming that the boundary data are given on a part of the boundary.
Eskin, Gregory
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Method of functional parametrization for solving a semi-periodic initial problem for fourth-order partial differential equations

Қарағанды университетінің хабаршысы. Математика сериясы, 2020
A semi-periodic initial boundary-value problem for a fourth-order system of partial differential equations is considered. Using the method of functional parametrization, an additional parameter is carried out and the studied problem is reduced to the ...
A.T. Assanova, Zh.S. Tokmurzin
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