Continuous block backward differentiation formula for solving stiff ordinary differential equations

In this paper, we consider an implicit Continuous Block Backward Differentiation formula (CBBDF) for solving Ordinary Differential Equations (ODEs). A block of pp new values at each step which simultaneously provide the approximate solutions for the ODEs is derived, where pp is the number of points. A performance comparison of the continuous block methods is made with existing methods. Numerical results indicate that the CBBDF is more efficient in improving the number of integration steps with better accuracy.