In this paper, we review many recent developments and further applications of nonstandard
finite difference (NSFD) methods encountered in the past decade. In particular, it is a follow …

The nonstandard finite difference (NSFD) method is an elegant approach in that it
overcomes the numerical instability and bias exhibited by standard finite difference methods …

In this paper we construct nonstandard finite difference (NSFD) schemes to obtain numerical
solutions of the susceptible–infected (SI) and susceptible–infected–recovered (SIR) …

Reasonable pricing of options in the financial derivatives market is crucial. For American
options, or when volatility and interest rate are not constant, it is often difficult to obtain …

This paper presents a high order numerical method based on a uniform mesh to obtain a
highly accurate result for generalized Black–Scholes equation arising in the financial …

Nonstandard finite difference methods have been extensively used to numerically solve
various problems in science and engineering. Most of those methods have been specifically …

Nonstandard finite difference (NSFD) methods provide an efficient way to numerically solve
many problems in engineering and science. NSFD methods also provide many advantages …

In this paper, an efficient numerical scheme is constructed to approximate the solutions of
the two-dimensional linear and nonlinear fractional cable equation. The fractional derivative …

We discuss the numerical solving of nonlinear options pricing models to a market with the
insufficient liquidity. Also for these models, the sensitivity coefficients of the option price …

In this paper, numerical studies for transmission dynamics of West Nile Virus mathematical
model are presented. The nonstandard finite difference method is introduced to solve the …