Extended double-stride L-stable methods for the numerical solution of ODEs

Usmani and Agarwal [1] had proposed construction of extended one-step higher (than two) order A-stable methods by coupling classical Linear Multistep Methods (LMMs). Following on their idea, in the present paper we describe a class of extended double-stride methods based on Simpson's rule, whic...

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Bibliographic Details
Published in:Computers & mathematics with applications (1987) 1996, Vol.31 (2), p.1-6
Main Authors: Chawla, M.M., Karaballi, A.A., Al-Sahhar, M.S.
Format: Article
Language:English
Subjects:
A-stability
Double-stride
Exact sciences and technology
Extended methods
Initial-value problem
L-stability
Linear multistep methods
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
ODE
One-step
Ordinary differential equations
Sciences and techniques of general use
Simpson's rule
Trapezoidal rule
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Summary:Usmani and Agarwal [1] had proposed construction of extended one-step higher (than two) order A-stable methods by coupling classical Linear Multistep Methods (LMMs). Following on their idea, in the present paper we describe a class of extended double-stride methods based on Simpson's rule, which are fourth order and L-stable.
ISSN:0898-1221
1873-7668
DOI:10.1016/0898-1221(95)00187-5