Existence, Uniqueness, and Error Analysis of a Mixed Finite Element Approximation for the Extended Fisher–Kolmogorov Equation
In this article, we present a numerical analysis of the extended Fisher–Kolmogorov equation and use a mixed finite element method for its approximation. Our analysis begins with establishing the existence and uniqueness of the weak solution based on the Faedo–Galerkin approach. Next, for the fully discrete scheme, a...