Composite Backward Differentiation Formula for the Bidomain Equations.

ABSTRACT: The bidomain equations have been widely used to model the electrical activity of cardiac tissue. While it is well-known that implicit methods have much better stability than explicit methods, implicit methods usually require the solution of a very large nonlinear system of equations at each timestep which is computationally prohibitive. In this work, we present two fully implicit time integration methods for the bidomain equations: the backward Euler method and a second-order one-step two-stage composite backward differentiation formula (CBDF2) which is an L-stable time integration method. Using the backward Euler method as fundamental building blocks, the CBDF2 scheme is easily implementable. After solving the nonlinear system resulting from application of the above two fully implicit sch

SUBMITTER: Gao X 

PROVIDER: S-EPMC7767930 | biostudies-literature | 2020

REPOSITORIES: biostudies-literature