Stability Analysis of the 2-Point Diagonally Implicit Super Class of Block Backward Differentiation Formula with Off-Step Points
نویسندگان
چکیده
منابع مشابه
Diagonally Implicit Super Class of Block Backward Differentiation Formula with Off‐Step Points for Solving Stiff Initial Value Problems
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 th...
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This paper focuses on the derivation of diagonally implicit two-point block backward differentiation formulas DI2BBDF for solving first-order initial value problem IVP with two fixed points. The method approximates the solution at two points simultaneously. The implementation and the stability of the proposed method are also discussed. A performance of the DI2BBDF is compared with the existing ...
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ژورنال
عنوان ژورنال: Journal of Physical Mathematics
سال: 2017
ISSN: 2090-0902
DOI: 10.4172/2090-0902.1000245