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 research paper considers a semi-analytical method called the Adomian Decomposition Method (ADM) for the computation of nonlinear second order differential equations. The analysis of the method will also be carried out to show the convergence of its solution. The method has t...
Open access
Research Article10.9734/JSRR/2017/32932
In this paper, a new convergence analysis of Adomian Decomposition Method (ADM) for second-order problems will be presented. The ADM will also be implemented on second-order oscillatory problems to generate approximate solutions. This research is motivated by the fact that a lot...
Open access
Research Article10.9734/ARJOM/2017/32011
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 engineering. This paper attempts to study some applications of Duffing oscillator and also develop an...
Open access
Research Article10.9734/ARJOM/2017/31199
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
We formulate an implicit hybrid block method for the numerical solution of stiff first-order Ordinary Differential Equations (ODEs) using the Legendre polynomial as our basis function via interpolation and collocation techniques. The paper further investigates the basic propertie...
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Research Article10.9734/BJMCS/2015/16252
In this paper, we derive a new quarter-step hybrid block method for the solution of first-order Ordinary Differential Equations (ODEs). We employ the approach of interpolating the power series and collocating the differential system within a quarter-step interval of integration....
Open access
Research Article10.9734/BJMCS/2015/14139
This paper presents the derivation and implementation of a block integrator for the solution of stiff and oscillatory first-order initial value problems of Ordinary Differential Equations (ODEs). The integrator was derived by collocation and interpolation of the combination of po...
Open access
Research Article10.9734/BJMCS/2014/8563
This paper is focused on the formation of 6 and 8 member block hybrid methods with multiple-mesh point’s for the solution of stiff ordinary differential equations. The research further investigates the basic properties of implicit three-step and four-step block hybrid methods. We...
Open access
Research Article10.9734/JSRR/2018/39319
Ebola Virus Disease (EVD) has garnered public interest mostly because of its low survival rate compared with most other modern epidemic diseases. This research is hinged on the Prognosis, Control and Simulation of the EVD. A model called the Susceptible-Latent-Infected-Recovered...
Open access
Research Article10.9734/JSRR/2017/34427
In this paper, we propose a computational method for the determination of forced motions in mass-spring systems. The method of interpolation and collocation of Hermite polynomial (as basis function) was adopted to generate continuous computational hybrid linear multistep methods...
Open access
Research Article10.9734/ARJOM/2017/31821