Results 11 to 20 of about 233,661 (218)
ENERGY-CONSERVING AND RECIPROCAL SOLUTIONS FOR HIGHER-ORDER PARABOLIC EQUATIONS
Journal of Computational Acoustics, 1999 The energy conservation law and the flow reversal theorem are valid for underwater acoustic fields. In media at rest the theorem transforms into well-known reciprocity principle. The presented parabolic equation (PE) model strictly preserves these important physical properties in the numerical solution.
D. Mikhin
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Entropy dissipative higher order accurate positivity preserving time-implicit discretizations for nonlinear degenerate parabolic equations [PDF]
Journal of Computational and Applied Mathematics, 2023 We develop entropy dissipative higher order accurate local discontinuous Galerkin (LDG) discretizations coupled with Diagonally Implicit Runge-Kutta (DIRK) methods for nonlinear degenerate parabolic equations with a gradient flow structure.
F. Yan, J. V. D. Vegt, Y. Xia, Y. Xu
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Pointwise-in-time a posteriori error control for higher-order discretizations of time-fractional parabolic equations [PDF]
Journal of Computational and Applied Mathematics, 2022 Time-fractional parabolic equations with a Caputo time derivative are considered. For such equations, we explore and further develop the new methodology of the a-posteriori error estimation and adaptive time stepping proposed in [7].
S. Franz, N. Kopteva
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Математичні Студії, 2023 Initial-boundary value problems for parabolic and elliptic-parabolic (that is degenerated parabolic) equations in unbounded domains with respect to the spatial variables were studied by many authors.
M. M. Bokalo, O. V. Domanska
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Alexandria Engineering Journal, 2023 Parabolic equations play an important role in chemical engineering, vibration theory, particle diffusion and heat conduction. Solutions of such equations are required to analyze and predict changes in physical systems. Solutions of such equations require
Mubashir Qayyum +4 more
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Современная математика: Фундаментальные направления, 2023 In this survey, we study boundary-value problems for nonlinear differential-difference equations of elliptic and parabolic types, as well as related nonlinear equations with nonlocal boundary conditions.
O. V. Solonukha
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On the Dirichlet problem for certain higher order parabolic equations [PDF]
Pacific Journal of Mathematics, 1960 R. K. Juberg
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Unique Continuation for Parabolic Equations of Higher Order [PDF]
Nagoya Mathematical Journal, 1966 Let x = (xl,…xn) be a point in the n-dimensional Euclidean space and let be the unit sphere In the (n + 1)-dimensional Euclidean space with coordinate (x, t), we putandwhere denotes the boundary of . We also use the following notation:
Chen, Lu-san, Kuroda, Tadashi
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Explicit Blowing Up Solutions for a Higher Order Parabolic Equation with Hessian Nonlinearity [PDF]
Journal of Dynamics and Differential Equations, 2021 In this work we consider a nonlinear parabolic higher order partial differential equation that has been proposed as a model for epitaxial growth. This equation possesses both global-in-time solutions and solutions that blow up in finite time, for which ...
C. Escudero
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Galerkin-Petrov method for one-dimensional parabolic equations of higher order in domain with a moving boundary [PDF]
Компьютерные исследования и моделирование, 2013 In the current paper, we study a Galerkin-Petrov method for a parabolic equations of higher order in domain with a moving boundary. Asymptotic estimates for the convergence rate of approximate solutions are obtained.
Polina Vitalievna Vinogradova +2 more
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