The Formation of 6 and 8 Members Block Hybrid Methods with Multiple-mesh Points for the Solution of Stiff Ordinary Differential Equations

Abstract

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 noticed that the moment the value of an error constant is positive, the order P is odd. And when the value of an error constant is negative then the order P is of even number. The performance of the methods was demonstrated on some stiff initial value problems (IVPs). The result revealed that the hybrid block methods are efficient, accurate and convergent on some stiff ordinary differential equations.