Our new linear symmetric semi-embedded predictor–corrector method (SEPCM) presented
here is based on the multistep symmetric method of Quinlan and Tremaine (1990), with eight …

In this work we derive NonStandard Finite Differences (NSFDs)(Anguelov and Lubuma,
2001; Mickens, 2020) numerical schemes to solve a model consisting of reaction–diffusion …

We review some recent contributions of the authors regarding the numerical approximation
of stochastic problems, mostly based on stochastic differential equations modeling random …

This paper concerns the construction of a general class of exponentially fitted two-step
implicit peer methods for the numerical integration of Ordinary Differential Equations (ODEs) …

This paper is focused on the accurate and efficient solution of partial differential differential
equations modelling a diffusion problem by means of exponentially fitted finite difference …

In this paper, we present a general class of exponentially fitted two-step peer methods for
the numerical integration of ordinary differential equations. The numerical scheme is …

Abstract Modified Gauss–Laguerre exponentially fitted quadrature rules are introduced for
the computation of integrals of oscillatory functions over the whole positive semiaxis. Their …

The exponential fitting technique uses information on the expected behaviour of the solution
of ordinary and partial differential equations to define accurate and efficient numerical …

In this paper, an adapted numerical scheme for reaction–diffusion problems generating
periodic wavefronts is introduced. Adapted numerical methods for such evolutionary …

This study aims to propose sixth-order two-derivative improved Runge-Kutta type methods
adopted with exponentially-fitting and trigonometrically-fitting techniques for integrating a …