One of the most important classes of nonlinear differential equations that have a great deal of applications is the Riccati Differential Equations (RDEs). In this paper, a quarter-step method is derived for the solution of RDEs by collocating and interpolating the Laguerre polyno...
Open access
Research Article10.9734/ACRI/2017/36267
A one-step computational method is proposed for the simulation of Duffing oscillators in this research. In achieving this, power series was adopted as a basis function in the derivation of the method. The integration was carried out within a one-step interval, where the interval...
Open access
Research Article10.9734/AIR/2017/36133
This paper presents the derivation and implementation of a computational approach for the solution of some electric circuit problems. The one-step computational hybrid block method was developed using Legendre polynomial of degree six as our basis function via interpolation and c...
Open access
Research Article10.9734/AIR/2016/26794
In this paper, we present the derivation and implementation of a quarter-step method for the integration of first-order modeled differential equations. The quarter-step method was developed using Laguerre polynomial of degree six as our basis function via interpolation and colloc...
Open access
Research Article10.9734/AIR/2016/25688