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The convergence and order of the 3-point block extended backward differentiation formula

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Title: The convergence and order of the 3-point block extended backward differentiation formula

Authors: H. Musa, M. B. Suleiman, F. Ismail, N. Senu, Z. B. Ibrahim

Journal: ARPN Journal of Engineering and Applied Sciences

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
X 2020-07-01 2021-06-30

Publisher: Khyber Medical College, Peshawar

Country: Pakistan

Year: 2012

Volume: 7

Issue: 12

Language: English

Categories
Numerical Analysis (431) Applied Mathematics (727) Differential Equations (206) Mathematics (5170) Computational Mathematics (14)

Abstract

In this paper, we consider the fully implicit 3-point Block Extended Backward Differentiation Formula for solving stiff initial value problems. The iterative block method is proven to be convergent by establishing zero stability and consistency conditions. Numerical results are given to show the effect of zero stability and consistency. The accuracy is seen to improve as the step length tends to zero. The order of the method is also shown to be 6.

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