Second derivative Hybrid Block Backward Differentiation Formulae for Numerical Solution of Stiff Systems

In this research work, two and three step second derivative hybrid block backward differentiation formulae (SDHBBDF) method of order 6 and 7 are presented for the numerical solution of stiff initial value problems. The block scheme was obtained through increasing the number k in the multi-step collocation (MC) with the aid of maple software. The stability analysis of the method have shown that the schemes are A-stable and consistent. We compared SDHBBDF methods with exact solutions and have shown that the results obtained using proposed new block methods are excellent for the solution of stiff problems.