In this paper, we develop the double step hybrid linear multistep method for solving second order initial value problems via interpolation and collocation method of power series approximate solution to give a system of nonlinear equations which is solved to give a continuous hybr...
Open access
Research Article10.9734/arjom/2019/v15i230145
A general one-step hybrid block method with equidistant of order 6 has been successfully developed for the direct solution of second order IVPs in this article. Numerical analysis shows that the developed method is consistent and zero-stable which implies its convergence. The ana...
Open access
Research Article10.9734/ajpas/2019/v5i330136
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
In this research work, two and three step second derivative hybrid block backward differentiation formulae (SDHBBDF) method of order 6 and 7 are presented for the numerical solution of stiff initial value problems. The block scheme was obtained through increasing the number k in...
Open access
Research Article10.9734/JAMCS/2017/36340
This paper is focused on the construction and implementation of implicit one-step hybrid block methods for the solution of stiff ordinary differential equation. The research further investigates the basic properties of implicit one-step block hybrid method. We noticed that the mo...
Open access
Research Article10.9734/JSRR/2017/36187
An independent hybrid block Simpson’s methods with a very closely accurate members of order p=q+2 as a block was formulated. This was obtained through increasing the number k in the multi-step collocation (MC). Maple software was used to facilitate the derivation of the k-step co...
Open access
Research Article10.9734/JAMCS/2017/34225
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
The introduction of new linear block method for the direct simulation of fourth order IVPs has been developed in this article. The reason for adopting direct simulation of fourth order initial value problems is to address some setbacks in reduction method. When developing the met...
Open access
Research Article10.9734/arjom/2022/v18i1030415
In this article, the direct simulation of third order linear problems on single step block method has been proposed. In order to overcoming the setbacks in reduction method, direct method has been proposed using power series to reduce computational burden that occur in the reduct...
Open access
Research Article10.9734/ajrcos/2021/v12i230277
In this paper, the continuous forms of the Second Derivative Generalized Adams methods (SDGAMs) and its hybrid formed by adding one off-grid collocation point for step number k = 3 were derived. These continuous formulations were evaluated at some desired points to give the discr...
Open access
Research Article10.9734/JSRR/2018/39444
This research aim at developing two-step block third derivative method with two-offstep points for a direct solution of stiff second order ODEs. Power series approximation method was adopted as basis function using interpolation and collocation techniques at two selected grid poi...
Open access
Research Article10.9734/ARJOM/2018/40716
This paper proposes an efficient third derivative hybrid block method of order eleven for solving second Order Ordinary Differential Equations directly. Method of interpolation and collocation of power series approximate solution to generate the continuous hybrid linear multistep...
Open access
Research Article10.9734/ARJOM/2018/40613
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...
Open access
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