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 research, we have proposed the simulation of linear block algorithm for modeling third order highly stiff problem without reduction to a system of first order ordinary differential equation, to address the weaknesses in reduction method. The method is derived using the li...
Open access
Research Article10.9734/jsrr/2021/v27i1230476
The simulation of one-step methods using interpolation and collocation for the treatment of higher order initial value problems is proposed in this paper. The new approach is derived using interpolation and collocation as a basic function through power series polynomial, where th...
Open access
Research Article10.9734/arjom/2021/v17i930329
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
This paper discuss the numerical simulation of one step block method for treatment of second order forced motions in mass-spring systems of initial value problems. The one step block method has been developed with the introduction of off-mesh point at both grid and off- grid poin...
Open access
Research Article10.9734/ajr2p/2021/v5i230157
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
The new accurate implicit quarter step first derivative blocks hybrid method for solving ordinary differential equations have been proposed in this paper via interpolation and collocation method for the solution of stiff ODEs. The analysis of the method was study and it was found...
Open access
Research Article10.9734/arjom/2019/v13i330106
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
The approximation of the one step block method using the Linear Block approach (LBA) for simulation of second order oscillatory differential equations was examined in this research. The basic properties of the new method were also analyzed and satisfied. Some distinct second orde...
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