An Improved Block Backward Differentiation Formula for Stiff Differential Equations

In this work, we derived eight-order, implicit block formula using backward differentiation method with two off-step points for solving stiff ordinary differential equations. We solve some standard set of stiff initial value problems (IVPs) using the new method. We then compared the numerical results with the existing methods which have solved the same set of ivps. We have also verified the consistency, order and stability of the method whereby, method is found to be A- stable and consistent.