Boundary conditions for hyperbolic systems of partial differentials equations
نویسندگان
چکیده
منابع مشابه
Boundary conditions for hyperbolic systems of partial differentials equations
An easy-to-apply algorithm is proposed to determine the correct set(s) of boundary conditions for hyperbolic systems of partial differential equations. The proposed approach is based on the idea of the incoming/outgoing characteristics and is validated by considering two problems. The first one is the well-known Euler system of equations in gas dynamics and it proved to yield set(s) of boundary...
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1, Differential equations in one space dimension. The simplest hyperbolic differential equation is given by (1.1) du/dt = cdu/dx, where c is a constant, Its general solution is u(x, t) — F(x + ci), i.e., it is constant along the "characteristic lines" x + ct = const (see Figure 1). Therefore, if we u(l,t) = g(t) u(0,t)*g(t want to determine the solution of (1.1) in the region 0 ^ x ^ 1, t ja 0,...
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ژورنال
عنوان ژورنال: Journal of Advanced Research
سال: 2013
ISSN: 2090-1232
DOI: 10.1016/j.jare.2012.05.006