Journal of Applied & Computational Mathematics | |
Diagonally Implicit Super Class of Block Backward Differentiation Formula with Off�?¢�?�?��?Step Points for Solving Stiff Initial Value Problems | |
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
【 预 览 】
Files | Size | Format | View |
---|---|---|---|
RO202307140004369ZK.pdf | 722KB | download |