In this work, we derive a nonstandard finite difference scheme for the SICA (Susceptible–Infected–Chronic–AIDS) model and analyze dynamical properties of discretized system. We prove that is dynamically consistent with continuous, maintaining essential standard model, namely, positivity boundedness solutions, equilibrium points, their local global stability.

This paper proposes a numerical approach to the solution of Fisher-KPP reaction-diffusion equation in which space variable is developed using purely finite difference scheme and time development obtained hybrid Laplace Transform Finite Difference Method (LTFDM). The travelling wave solutions usually associated with are, general, not deemed suitable for treatment Fourier or transform methods. Ho...

In this paper an exponentially fitted finite difference method is presented for solving singularly perturbed two-point boundary value problems with the boundary layer. A fitting factor is introduced and the model equation is discretized by a finite difference scheme on an uniform mesh. Thomas algorithm is used to solve the tri-diagonal system. The stability of the algorithm is investigated. It ...