This study aims to develop an unconditionally stable numerical scheme for the equalwidth wave equation. An unconventional finite difference discretization is employed accomplish this. The John von Neumann methodology used examine stability of suggested method, and scheme's precision established. Numerical results with comparisons are shown demonstrate viability approach equal-width

Abstract In this work we describe horofunction compactifications of metric spaces and finite-dimensional real vector through asymmetric metrics polyhedral norms by means nonstandard methods, that is, ultrapowers the at hand. The carry structure stratified with strata indexed dual faces unit ball. Explicit neighborhood bases descriptions horofunctions are provided.

This work is the numerical analysis and computational companion of the paper by Kamgang and Sallet (Math. Biosc. 213 (2008), pp. 1–12) where threshold conditions for epidemiological models and the global stability of the disease-free equilibrium (DFE) are studied. We establish a discrete counterpart of the main continuous result that guarantees the global asymptotic stability (GAS) of the DFE f...