Diagonally Implicit Super Class of Block Backward Differentiation Formula with Off�?¢�?�?��?Step Points for Solving Stiff Initial Value Problems

Journal of Applied & Computational Mathematics

article

Babangida B¹  Musa H¹ 

[1] Department of Mathematics and Computer Sciences, Umaru Musa Yar'adua University

关键词: Off-step;    Diagonally implicit super class of block backward differentiation formula;    Stiff IVPs;    Implicit lock method;    A-stability;   

DOI  :  10.4172/2168-9679.1000324

来源: Hilaris Publisher

【 摘 要 】

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 ρ =3/4  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.

【 授权许可】

Unknown