The discontinuous Galerkin (DG) scheme is used to solve a conserved higher-order (CHO) traffic flow model by exploring several Riemann solvers. The second-order accurate DG scheme is found to be adequate in that the accuracy is comparable to the weighted essentially non-oscillatory (WENO) scheme with fifth-order accuracy and much better than the scheme with first-order accuracy in resolving a w...

A Comparison between the Discontinuous Galerkin Method and the High Resolution Wave Propagation Algorithm for the Full Two-Fluid Plasma Model

89 Acknowledgements 91

Article history: Received 13 October 2014 Received in revised form 17 January 2015 Accepted 18 February 2015 Available online 2 March 2015

‎in this paper, we discuss about existence of solution forintegro-differential system and then we solve it  by using the petrov-galerkin method. in the petrov-galerkin method choosing the trial and test space is important, so  we use alpert multi-wavelet as basisfunctions for these spaces. orthonormality is one of theproperties of alpert multi-wavelet which helps us to reducecomputations in the...

Article history: Received 23 April 2015 Received in revised form 3 February 2016 Accepted 31 March 2016 Available online xxxx I would like to dedicate this work to my Father, Ahmed Baccouch, who unfortunately passed away during the completion of this work

We present a study of the local discontinuous Galerkin method for transient convection-di usion problems in one dimension. We show that p degree piecewise polynomial discontinuous nite element solutions of convection-dominated problems are O( xp+2) superconvergent at Radau points. For di usion-dominated problems, the solution's derivative is O( xp+2) superconvergent at the roots of the derivati...