This project was performed to practice a common approach to using the Spectral Method with the fourier Galerkin approach to solving PDE's. Specifically, we'll be ...

This project was performed to practice a common approach to using the Spectral Method with the fourier Galerkin approach to solving PDE's. Specifically, we'll be ...

Abstract: In this article, we present a continuation method, which transforms spatially distributed ordinary differential equation (ODE) systems into a continuous partial differential equation (PDE).

Abstract: The Buckley-Leverett (BL) equation of plane radial flow describes the flow state of two phases of oil and water in an ideal planar porous medium. It is a nonlinear hyperbolic conservation ...