I have a quasilinear parabolic PDE like this: $H_t=(a-bH^{1/3})H_{xx}+(c+1/3bH^{-2/3}+bH^{1/3})H_x$ with standard homogeneous BC and IC. What methods can you suggest to solve it numerically? Is it possible to solve it with simple FEM directly? I tried mixed FEM, but i can not implement it due to 1/3 degrees. I found another methods like $H^1$ Galerkin method and collocation FEM that can be used in order to solve it. Do you have some ideas?


Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Browse other questions tagged or ask your own question.