Asymptotic expansion of the solution of the singularly perturbed convection-diffusion equation in the 2D convex polygonal domain

Abstract

We derive and apply the formulas for the global expansion and the asymptotic expansion of the solution of the singularly perturbed convection-diffusion equation in 2D convex polygonal domain. Under several assumptions we also prove its correctness and verify it on a few examples.

Keywords

• Asymptotic expansion
• singularly perturbed
• convection
• diffusion
• convex domain
• polygonal domain