A numerical simulation and explicit solutions of the generalized Burgers--Fisher equation
The authors present a method for the solution of a Burgers equation with a Fisher source term by computing terms of a series. The method requires that the solution possess a very high degree of regularity, namely, the condition that \(\| \partial_x^2 u \| \leq M \| u \| \). The method is very effective in special cases, such as that presented here.
scientific article; zbMATH DE number 2081880