We analyze the conservation properties of various discretizations system compressible Euler equations for shock-free flows, with special focus on treatment energy equation and induced discrete other thermodynamic quantities. The analysis is conducted both theoretically numerically considers two important factors characterizing formulations, namely choice splitting used in discretization convect...

In this article, a nonic B-spline collocation approach is applied to solve the approximate solution of Kuramoto-Sivashinsky equation (KSE). Here nonlinear term KSE linearizing using Taylo...