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A three-step optimized block backward differentiation formulae for solving stiff ordinary differential equations of first-orderdifferential equations is presented. The method adopts polynomial of order 6 and three hybrid pointschosen appropriately to optimize the local truncation errors of the main formulas for the block. The method is zero-stable and consistent with sixth algebraic order. Some numerical examples were solved to examine the efficiency and accuracy of the proposedmethod. The results show that the method is accurate.   Key words: Three-step, optimized block backward differentiation formulae, stiff, zero stable, consistent, convergent, first-order.

Three-step optimized block backward differentiation formulae (TOBBDF) for solving stiff ordinary differential equations