Results 11 to 20 of about 4,307 (226)
Estimation of Cauchy data for a first-order nonlinear hyperbolic equation
Journal of Mathematical Analysis and Applications, 1988 The authors study the Cauchy problem: \[ u_ t+uu_ x+au=\phi(x,t)\text{ in } \Omega \times (0,t),\;u(x,0)=u_ 0(x), \] where \(\Omega\) is an open interval in \({\mathbb{R}}\). This system is associated with an initial value problem for the system: \[ dx/dt=z,\quad dz/dt=-az+\phi (x,t). \] Suppose that M observations \(\{z_ k\}^ M_{k=1}\) at positions \(\
Grasse, Kevin A, White, L.W
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Results in Physics, 2022 The main purpose of the present paper is to introduce a reliable method, for the first time, in solving differential equations with partial derivatives. The significant idea behind this method is the modification of a well-known method.
Musaad S. Aldhabani +5 more
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On the construction and properties of WENO schemes order five, seven, nine, eleven and thirteen. Part 1. Construction and stability [PDF]
Компьютерные исследования и моделирование, 2016 Currently, different nonlinear numerical schemes of the spatial approximation are used in numerical simulation of boundary value problems for hyperbolic systems of partial differential equations (e. g.
Nikolay Mikhaylovitch Evstigneev
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Chemical Engineering Journal Advances, 2023 The tangent hyperbolic nanofluid behaviour is observed in multiple practical applications and extensively used in different laboratory experiments. It motivates to focus on the two-dimensional boundary layer flow of tangent hyperbolic nanofluid past a ...
Hiranmoy Maiti, Samir Kumar Nandy
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The First Integral Method to the Nonlinear Schrodinger Equations in Higher Dimensions
Abstract and Applied Analysis, 2013 The first integral method introduced by Feng is adopted for solving some important nonlinear partial differential equations, including the (2 + 1)-dimensional hyperbolic nonlinear Schrodinger (HNLS) equation, the generalized nonlinear Schrodinger (GNLS ...
Shoukry Ibrahim Atia El-Ganaini
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Bounder solution on a strip to a system of nonlinear hyperbolic equations with mixed derivatives
Қарағанды университетінің хабаршысы. Математика сериясы, 2016 The system of nonlinear hyperbolic equations with mixed derivatives is considered on the strip. Time variable of the unknown function changes on the whole axis, and the spatial variable belongs to a finite interval.
D.S. Dzhumabaev, S.M. Temesheva
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Numerical solution of special ultra-relativistic Euler equations using central upwind scheme
Results in Physics, 2018 This article is concerned with the numerical approximation of one and two-dimensional special ultra-relativistic Euler equations. The governing equations are coupled first-order nonlinear hyperbolic partial differential equations.
Tayabia Ghaffar +2 more
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On the many-body problem with short-range interaction
Discrete and Continuous Models and Applied Computational Science, 2022 The classical problem of the interaction of charged particles is considered in the framework of the concept of short-range interaction. Difficulties in the mathematical description of short-range interaction are discussed, for which it is necessary to ...
Mark M. Gambaryan, Mikhail D. Malykh
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Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020 Background. A plurality of nonlinear equations in partial derivatives having a Lax pair are either exactly integrable or equations that allow rich classes of exact solutions.
T. V. Red'kina, O. V. Novikova
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BACKLUND TRANSFORMATIONS FOR LIOUVILLE’S EQUATIONS WITH EXPONENTIAL NONLINEARITY
Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020 Background. The study of Backlund 's transformations is one of the current topics in the theory of differential equations in partial derivatives. Such transformations are used to find solutions to nonlinear differential equations, including solitonic ...
T. V. Red'kina, O. V. Novikova
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