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, 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