Asymptotic Expansion Method with Respect to Small Parameter for Ternary Diffusion Models

AbstractTernary diffusion models lead to strongly coupled systems of PDEs. We choose the smallest diffusion coefficient as a small parameter in a power series expansion whose components fulfill relatively simple equations. Although this series is divergent, one can use its finite sums to derive feasible numerical approximations, e.g. finite difference methods (FDMs).

Source: Interdisciplinary Sciences, Computational Life Sciences - April 12, 2017 Category: Bioinformatics Source Type: research