Zobrazeno 1 - 10
of 208
pro vyhledávání: '"Fazio, Riccardo"'
Autor:
Fazio, Riccardo
In this paper, within scaling invariance theory, we define and apply to the numerical solution of a similarity boundary layer model an iterative transformation method. The boundary value problem to be solved depends on a parameter and is defined on a
Externí odkaz:
http://arxiv.org/abs/2011.09661
Autor:
Fazio, Riccardo
In this paper, we define a non-iterative transformation method for boundary-layer flows of non-Newtonian fluids past a flat plate. The problem to be solved is an extended Blasius problem depending on a parameter. This method allows us to solve numeri
Externí odkaz:
http://arxiv.org/abs/2011.09662
Autor:
Fazio, Riccardo
In this paper, we have defined and applied a non-ITM to an extended Blasius problem describing a 2D laminar boundary-layer with power-law viscosity for Newtonian fluids. For a particular value of the parameter involved, this problem reduces to the ce
Externí odkaz:
http://arxiv.org/abs/2011.09122
Autor:
Fazio, Riccardo
This work is concerned with the existence and uniqueness of boundary value problems defined on semi-infinite intervals. These kinds of problems seldom admit exactly known solutions and, therefore, the theoretical information on their well-posedness i
Externí odkaz:
http://arxiv.org/abs/2011.07725
Autor:
Fazio, Riccardo
In this paper, we propose a review of the free boundary formulation for BVPs defined on semi-infinite intervals. The main idea and theorem are illustrated, for the reader convenience, by using a class of second-order BVPs. Moreover, we are able to sh
Externí odkaz:
http://arxiv.org/abs/2011.07723
Autor:
Fazio, Riccardo
The first contribution of this paper is the extension of the non-iterative transformation method, proposed by T\"opfer more than a century ago and defined for the numerical solution of the Blasius problem, to a Blasius problem with extended boundary
Externí odkaz:
http://arxiv.org/abs/2011.07724
Autor:
Fazio, Riccardo
In this paper, we have defined the free boundary formulation for two extended Blasius problems. These problems are of interest in boundary layer theory and are deduced from the governing partial differential equations by using appropriate similarity
Externí odkaz:
http://arxiv.org/abs/2011.06839
In this paper, we present an implicit finite difference method for the numerical solution of the Black-Scholes model of American put options without dividend payments. We combine the proposed numerical method by using a front fixing approach where th
Externí odkaz:
http://arxiv.org/abs/2004.03595
Autor:
Fazio, Riccardo
In a transformation method, the numerical solution of a given boundary value problem is obtained by solving one or more related initial value problems. Therefore, a transformation method, like a shooting method, is an initial value method. The main d
Externí odkaz:
http://arxiv.org/abs/2003.07971
Autor:
Fazio, Riccardo
The Blasius flow is the idealized flow of a viscous fluid past an infinitesimally thick, semi-infinite flat plate. The definition of a non-iterative transformation method for the celebrated Blasius problem is due to T{\"o}pfer and dates more than a c
Externí odkaz:
http://arxiv.org/abs/2003.07730