S. Angelin Shena, J. Manimaran, K. Sethukumarasamy, L. Shangerganesh
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Convergence of BDF2-Galerkin finite element scheme for cancer invasion model
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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