Abstract
Characteristic Galerkin (CG) schemes were first presented for one- and two-dimensional conservation laws by Morton. In this paper, a class of modified second order accurate characteristic Petrov-Galerkin (CPG) schemes obtained by combining a unit leap function with a linear element as the try function, called a nonlinear element, are derived for one- and two-dimensional conservation laws. The schemes constructed are due to characteristic relations and the structure of the solutions, and made to have high resolution and nonoscillations. Finally, numerical experiments are given.
Full Text 
Sign-in/Register to access full text options
Sign-in/Register to access full text options 
Published version (
Free)
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
