Abstract
A technique for solving the Burgers equation by the Galerkin method as applied to the problem of a propagating shock wave is considered. The solution is based on the reduction of a parabolic partial differential equation to a system of ordinary differential equations, depending on time, considering the nonlinear term included into the differential equation. The system of ordinary differential equations is integrated using the Euler computational scheme. Furthermore, the step size is maintained small enough so that the errors associated with numerical integration are negligible in comparison with the approximation error. It is established that the mean square error with an increase in the order of the approximate solution decreases raPIDly and the trial solution converges to the exact solution.
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 callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
