In this paper, for the numerical approximation of random partial differential equations (RPDEs) of parabolic type, an explicit higher order finite difference scheme is constructed. In continuation the main properties of deterministic difference schemes, i.e. consistency, stability and convergency are developed for the random cases. It is shown that the proposed random difference scheme has thes...

Many scientific methods have been proposed to solve the Burgers–Huxley equation. Among these famous methods, little or nothing has mentioned in literature about coupling of nonstandard finite difference method time and Galerkin together with compactness space variables. We exploit this gap present a reliable technique aimed use show that solution problem under investigation is uniqued appropria...

Lattice Boltzmann schemes rely on the enlargement of size target problem in order to solve PDEs a highly parallelizable and efficient kinetic-like fashion, split into collision stream phase. This structure, despite well-known advantages from computational standpoint, is not suitable construct rigorous notion consistency with respect equations provide precise stability. In alleviate these shorta...

This paper presents a GPU-based, incompressible, multiphase generalized finite difference solver for simulating flow. The method includes dampening scheme that allows large density ratio cases to be simulated. Two verification studies are performed by the relaxation of square droplet surrounded light fluid and bubble rising in denser fluid. is also used simulate collision binary droplets at mod...

The aim of this paper is to design appropriate nonstandard finite difference (NSFD) schemes for two population mathematical models based on coupled nonlinear ordinary differential equations. Our work clarifies existing constructions NSFD these models, which are not in full compliance with Mickens' methodology. We select the denominator functions discrete first-order derivatives depending existe...