Diagonally Implicit Super Class of Block Backward Differentiation Formula with Off‐Step Points for Solving Stiff Initial Value Problems
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چکیده
A new formula called 2-point diagonally implicit super class of BBDF with two off-step points (2ODISBBDF) for solving stiff IVPs is formulated. The method approximates two solutions with two off-step points simultaneously at each iteration. By varying a parameter ρ ∈ (–1,1) in the formula, different sets of formulae can be generated. A specific choice of 3 4 ρ = is made and it was shown that the method is both zero and A-stable. A comparison between the new method and the existing 2-point block backward differentiation formula with off-step points (2OBBDF) is made. The results show that the new method outperformed existing 2OBBDF method in terms of accuracy. Figure 1: Points involved in 2-point super class BBDF with off-step points method. Citation: Babangida B, Musa H (2016) Diagonally Implicit Super Class of Block Backward Differentiation Formula with Off-Step Points for Solving Stiff Initial Value Problems. J Appl Computat Math 5: 324. doi: 10.4172/2168-9679.1000324
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