I'm trying to study a research paper of lava flows, I require some help with solving these type of pde's . I'm well aware of finite volume and difference methods along with numerical techniques for solving pde's
May someone help me with the initial steps which I must do in order to solve this problem.
I am attaching the equations which are needed to be solved. The eq3 is the governing equation, rest all describe the co-efficient's temperature dependence and their variations.
This is the paper I'm referring to :
The equations are attached in this image file.
Please let me know, if anything is not clear. Thanks