Simulations of nonlinear advection-diffusion models through various finite element techniques
Simulations of nonlinear advection-diffusion models through various finite element techniques
In this study, the Burgers equation is analyzed in both numerically and mathematically by considering various finite element based techniques including Galerkin, Taylor-Galerkin and collocation methods for spatial variation of the equation. The obtained time dependent ordinary differential equation system is approximately solved by α-family of time approximation. All these …