The block backward differentiation method of finding solution to stiff Initial Value Problems (IVPs)

Abstract

In this paper research work we designed Block Backward Differential Formulas (BBDFs) that is able to generate solutions to stiff Initial Value Problems (IVPs) using Lagrangian Interpolation Method. The region of absolute stability (RAS) was also obtained. The (BBDFs) derivedwere coded in Java digit computer and implemented on some standard stiff initial value problems. The results show that 3 – point (BBDFs) step size with ratio r = 1 and r = 2 are efficient, accurate and stable.