Results 11 to 20 of about 7,542,543 (282)
A Unified Analytical Approach to Fixed and Moving Boundary Problems for the Heat Equation
Mathematics, 2021 Fixed and moving boundary problems for the one-dimensional heat equation are considered. A unified approach to solving such problems is proposed by embedding a given initial-boundary value problem into an appropriate initial value problem on the real ...
Marianito R. Rodrigo, Ngamta Thamwattana
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Numerical Solution of the Problem of Relaxation Filtration of a Suspension Through a Radial Filter at a Constant Flow Velocity [PDF]
MembranesThis paper investigates the relaxation filtration of a suspension through a radial filter surface under conditions of constant flow velocity. A mathematical model for relaxation cake growth is formulated based on the liquid-phase continuity equation ...
Volodymyr Brazhenko +4 more
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Boundary approximation methods for potential problems associated with moving boundary problems
Journal of Computational and Applied Mathematics, 1992 The authors consider moving and free boundary problems for Laplace's equation. These include flow in a Hele-Shaw cell, steady and unsteady water waves, free surface flow in a porous medium, electro-mechanical machining and Rayleigh-Taylor instability.
H Rasmussen
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A method for solving moving boundary problems in heat flow Part I: Using cubic splines [PDF]
, 1972 A new approach to a heat-flow problem involving a moving boundary makes use of a grid system which moves with the boundary. The necessary interpolations are performed by using cubic splines.
Gupta, R, Crank, J
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A Scalable Moving Boundary Treatment in the Lattice Boltzmann Method
Applied Sciences, 2021 Based on the lattice Boltzmann Method (LBM), a new moving boundary treatment is proposed by studying the influence of the moving boundary in a low-speed incompressible fluid.
Peng He +3 more
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Electronic Journal of Differential Equations, 2021 We consider an exact boundary control problem for the wave equation in a moving bounded domain which has a star-shaped hole. The boundary domain is composed by two disjoint parts, one is the boundary of the hole, which is fixed, and the other one is the
Ruikson S. O. Nunes
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A method for solving moving boundary problems in heat flow part ii: Using cubic polynomials [PDF]
, 1972 A moving grid system has been used to get the solution of the moving boundary problem discussed earlier in Part I, but basing the necessary interpolations on ordinary cubic polynomials rather than splines.
Gupta, R, Crank, J
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On One Initial Boundary Value Problem for the Burgers Equation in a Rectangular Domain [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 We consider some initial boundary value problems for the Burgers equation in a rectangular domain, which in a sense can be taken as a model one. The fact is that such a problem often arises when studying the Burgers equation in domains with moving ...
M.T. Jenaliyev +3 more
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Finite Element Modelling of the Hydrodynamic Environment of a Small ROV [PDF]
Modeling, Identification and Control, 1993 This paper addresses a practical problem, namely, modeling the hydrodynamic environment of a small ROV. This has become the problem of solving time-dependent incompressible Navier-Stokes equations with moving boundaries and a new method is developed to ...
Ren Guang, Jens G. Balchen
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Moving boundary problems [PDF]
Bulletin of the American Mathematical Society, 2020 Moving boundary problems are ubiquitous in nature, technology, and engineering. Examples include the human heart and heart valves interacting with blood flow, biodegradable microbeads swimming in water to clean up water pollution, a micro camera in the human intestine used for early colon cancer detection, and the design of next-generation vascular ...
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