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
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
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, 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
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
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