Continuous block backward differentiation formula for solving stiff ordinary differential equations.
No Thumbnail Available
In this paper, we consider an implicit Continuous Block Backward Differentiation formula (CBBDF) for solving Ordinary Differential Equations (ODEs). A block of p new values at each step which simultaneously provide the approximate solutions for the ODEs is derived, where p 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.
Stiff problems , Continuous block BDF , Ordinary differential equations , Collocation and interpolation , Stability
Akinfenwa,O.A, Jator,S.N,Yao, N.M (2013). Continuous block backward differentiation formula for solving stiff ordinary differential equations Computers & Mathematics with Applications 65 (7), 996-1005