Abstract Duffing oscillator (or Duffing Equation) is one of the most significant and classical
nonlinear ordinary differential equations in view of its diverse applications in science and …

In this paper, a numerical solution to the Troesch problem using a memetic computing
technique is proposed. In this regard, a linear combination of Gaussian radial basis …

In this paper, a new heuristic scheme for the approximate solution of the generalized
Burgers'-Fisher equation is proposed. The scheme is based on the hybridization of Exp …

Physical Phenomena's located around us are primarily nonlinear in nature and their
solutions are of highest significance for scientists and engineers. In order to have a better …

Purpose In this article, a novel computational method is introduced for solving the fractional
nonlinear oscillator differential equations on the semi‐infinite domain. The purpose of the …

We utilized the Haar wavelet operational matrix method for fractional order nonlinear
oscillation equations and find the solutions of fractional order force‐free and forced Duffing …

In this paper, we present an approximate numerical solution to the well known Michaelis-
Menten nonlinear biochemical reaction system using a stochastic technique based on …

In this paper an evolutionary computational technique, which is stochastic in nature, is
applied for the first time to the numerical solution of the Troesch's problem. An approximate …

In this study a stochastic method based on the heuristic computation is applied for solving
the Bratu boundary value problem and an initial value problem of the Bratu-type. A …

This study investigated the simulation performance from zero initial conditions across the
transient and steady states of six different versions of fourth order Runge-Kutta schemes …