Abstract
This article aims to determine the convergence and error bounds for the fully discrete solutions of the cancer invasion model using two-step backward difference scheme (BDF2) in time and Galerkin finite element approximation in space. The existence and uniqueness of a solution is affirmed. We establish error estimates with optimal order convergence rates for full discretization. Finally, some numerical tests are used to authenticate the scheme’s competency and accuracy.
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Angelin Shena, S., Manimaran, J., Sethukumarasamy, K. et al. Convergence of BDF2-Galerkin finite element scheme for cancer invasion model. Eur. Phys. J. Spec. Top. (2024). https://doi.org/10.1140/epjs/s11734-024-01272-6
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DOI: https://doi.org/10.1140/epjs/s11734-024-01272-6