Numerical solution of the two-phase tumour growth model with moving boundary
This provides a new computational tool for researchers studying tumour growth with moving boundaries, though it is incremental as it extends existing weak solution concepts to a specific numerical method.
The authors propose a novel numerical technique for solving a two-phase tumour growth model in one dimension that avoids explicit boundary tracking, proving its equivalence to weak solutions and demonstrating consistency with literature results.
A novel numerical technique has been proposed to solve a two-phase tumour growth model in one spatial dimension without needing to account for the boundary dynamics explicitly. The equivalence to the standard definition of a weak solution is proved. The method is tested against equations with analytically known solutions, to illustrate the advantages over the existing techniques. The tumour growth model is solved using the new procedure and showed to be consistent with results available in the literature.