Numerical solutions of Burgers’ equation with a large Reynolds number

摘要

In this article the exact solution of Burgers’ equation represented as an infinite series is transformed into a simpler form involving the elliptic functionϑ3(υ, q). To evaluateϑ3(υ, q), we use the Jacobi Imaginary Transformation. It is made clear that the solutions obtained by the proposed approach are numerically stable and pr