Implicit Four-Point Hybrid Block Integrator for the Simulations of Stiff Models

Over the years, systematic search for stiff model solvers that are near-optimal has attracted attention of many researchers. An attempt been made in this research to formulate an implicit Four-Point Hybrid Block Integrator (FPHBI) simulations some renowned rigid models. The integrator is formulated by using Lagrange polynomial as basis function. properties which include order, consistency, and convergence were analyzed. Further analysis showed proposed A-stability region. nature makes it more robust fitted simulation To test computational reliability new integrator, few well-known technical models such pharmacokinetics, Robertson Van der Pol solved. results generated then compared with those existing methods including MATLAB solid solvent, ode 15s. From generated, FPHBI performed better than ones we our with.