One dimensional parabolic free boundary problems [PDF]
, 1975 The method of lines is used to approximate explicit and implicit free boundary problems for a linear one dimensional diffusion equation with a sequence of free boundary problems for ordinary differential equations.
Meyer, G H
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Trial methods for Bernoulli's free boundary problem [PDF]
, 2014 Free boundary problems deal with solving partial differential equations in a domain, a part of whose boundary is unknown – the so-called free boundary. Beside the standard boundary conditions that are needed in order to solve the partial differential ...
Mitrou, Giannoula
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A second order convergent trial method for a free boundary problem in three dimensions [PDF]
, 2015 The present article is concerned with the solution of a generalized Bernoulli free boundary problem in three spatial dimensions. We parametrize the free boundary under consideration over the sphere and apply a trial method which updates the free boundary
Harbrecht, Helmut, Bugeanu, Monica
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Stabilization of the trial method for the Bernoulli problem in case of prescribed Dirichlet data [PDF]
, 2013 We apply the trial method for the solution of Bernoulli’s free boundary problem when the Dirichlet boundary condition is imposed for the solution of the underlying Laplace equation and the free boundary is updated according to the Neumann boundary ...
Giannoula Mitrou +3 more
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Forced water entry and exit of two-dimensional bodies through a free surface [PDF]
, 2014 This thesis was submitted for the degree of Doctor of Philosophy and awarded by Brunel University.The forced water entry and exit of two-dimensional bodies through a free surface is computed for various 2D bodies (symmetric wedges, asymmetric wedges ...
Rasadurai, Rajavaheinthan
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Improved trial methods for a class of generalized Bernoulli problems [PDF]
, 2013 The aim of this article is to develop improved trial methods for the solution of a generalized exterior Bernoulli free boundary problem. At the free boundary, we prescribe the Neumann boundary condition and update the free boundary with the help of the ...
Mitrou, Giannoula, Harbrecht, Helmut
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Bernoulli free-boundary problems in strip-like domains and a property of permanent waves on water of finite depth [PDF]
, 2008 We study weak solutions for a class of free-boundary problems which includes as a special case the classical problem of travelling gravity waves on water of finite depth.
Varvaruca, Eugen
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New developments in econophysics: Option pricing formulas
Frontiers in Physics, 2022 We synthesize and discuss some new developments in econophysics. In doing so, we focus on option pricing. We relax the assumptions of constant volatility and interest rate. In doing so, we rely on the square root of the Brownian motion.
Moawia Alghalith
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A continuity result for a quasilinear elliptic free boundary problem [PDF]
, 1994 summary:We investigate a two dimensional quasilinear free boundary problem, and show that the free boundary is a union of graphs of continuous ...
Álvarez Contreras, Jesús +2 more
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Asymptotic Behavior for Radially Symmetric Solutions of a Logistic Equation with a Free Boundary
Mathematical Modelling and Analysis, 2017 In this paper we investigate a logistic equation with a new free boundary condition appearing in ecology, we aim to describe the spreading of a new or invasive species by studying the asymptotic behavior of the radially symmetric solutions of the problem.
Jingjing Cai, Quanjun Wu
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