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A (3+1)-dimensional generalized BKP-Boussinesq equation: Lie group approach
Results in Physics, 2019 A (3+1)-D generalized B-type KP-Boussinesq equation, which was recently formulated in the literature, is investigated here from Lie group standpoint. A solution is obtained by Lie symmetry reductions and direct integration in terms of incomplete elliptic
Chaudry Masood Khalique +1 more
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Hyperbolic Conservation Laws on Spacetimes [PDF]
, 2011 We present a generalization of Kruzkov's theory to manifolds. Nonlinear hyperbolic conservation laws are posed on a differential (n+1)-manifold, called a spacetime, and the flux field is defined as a field of n-forms depending on a parameter. The entropy inequalities take a particularly simple form as the exterior derivative of a family of n-form ...
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Multirate Timestepping Methods for Hyperbolic Conservation Laws [PDF]
Journal of Scientific Computing, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Emil M. Constantinescu, Adrian Sandu
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Redistribution of damping in hyperbolic systems of conservation laws
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2013 By a change of variables that redistributes damping among the equations of systems of balance laws in one space dimension, it is demonstrated that dissipation induced by friction, viscosity or other physical mechanism, manifested in the decay of “entropy”
Constantine M. Dafermos
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Entropy Schemes for One-Dimensional Convection-Diffusion Equations
Complexity, 2020 In this paper, we extend the entropy scheme for hyperbolic conservation laws to one-dimensional convection-diffusion equation. The operator splitting method is used to solve the convection-diffusion equation that is divided into conservation and ...
Rongsan Chen
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Numerical study of hybrid third order compact scheme for hyperbolic conservation laws
Energy Reports, 2020 In this paper, we present a numerical study to study the capability of the radius of curvature to detect the discontinuous point for hybrid high order schemes.
Indra Wibisono, Yanuar, E.A. Kosasih
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Fluids, 2023 The numerical solution of hyperbolic conservation laws requires algorithms with upwind characteristics. Conventional methods such as the numerical difference method can realize this characteristic by constructing special distributions of nodes.
Bing Yang +3 more
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Conservation Laws, Hodograph Transformation and Boundary Value Problems of Plane Plasticity
Symmetry, Integrability and Geometry: Methods and Applications, 2012 For the hyperbolic system of quasilinear first-order partial differential equations, linearizable by hodograph transformation, the conservation laws are used to solve the Cauchy problem.
Sergey I. Senashov, Alexander Yakhno
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Optimized Weighted Essentially Nonoscillatory Third-Order Schemes for Hyperbolic Conservation Laws
Journal of Applied Mathematics, 2013 We describe briefly how a third-order Weighted Essentially Nonoscillatory (WENO) scheme is derived by coupling a WENO spatial discretization scheme with a temporal integration scheme. The scheme is termed WENO3.
A. R. Appadu, A. A. I. Peer
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Nonstrictly Hyperbolic Conservation Laws
Applied Mathematics Letters, 1991 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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