The Euler equations subject to uncertainty in the initial and boundary conditions are
investigated via the stochastic Galerkin approach. We present a new fully intrusive method …

In the last few years, several methods have been developed to deal with jump singularities
in parametric or stochastic hyperbolic PDEs. They typically use some alignment of the jump …

The numerical approximation of solutions of parametric or stochastic hyperbolic PDEs is still
a serious challenge. Because of shock singularities, most methods from the elliptic and …

Conservation laws with uncertain initial and boundary conditions are approximated using a
generalized polynomial chaos expansion approach where the solution is represented as a …

The Euler equations subject to uncertainty in the input parameters are investigated via the
stochastic Galerkin approach. We present a new fully intrusive method based on a variable …

We present a stochastic Galerkin formulation of the Euler equations based on the variables
introduced by PL Roe in 1981 for the well-known and widely used Roe solver. For numerical …

IJERT IJERT Page 1 Solution Second – Order Partial Differential Equation By Using Arbitrary
Condition Hayder Jabbar Abood(1) , Mushtaq Shakir Al-Shehani (2) , Oday Hatem Jalel (3) …