DERIVATION OF 2-POINT ZERO STABLENUMERICAL ALGORITHM OF BLOCK BACKWARD DIFFERENTIATION FORMULA FOR SOLVING FIRST ORDER ORDINARY DIFFERENTIAL EQUATIONS
Abstract
This paper is aimed at deriving a 2-point zero stable numerical algorithm of block backward differentiation formula using Taylor series expansion, for solving first order ordinary differential equation. The order and zero stability of the method are investigated and the derived method is found to be zero stable and of order 3. Hence, the method is suitable for solving first order ordinary differential equation. Implementation of the method has been considered
References
Brugano L. &Trigiante D. (1998); Solving differential problem by multistep initial andBoundary value method: Gordon and Breach Science publication. Amsterdam.
Curtis C.F. and HirschfelderJ.O (1952).; Integration of stiff Equations, National Academy of Sciences. Vol.38: 235-243.
Chu M.T, Hamilton H. (1987); Parallel solution of ODE’s by multi-block methods.SIAM. J Sci. Stat. Comput. Vol.8: 342-353.
DahlquishC.G (1974), Problem related to the numerical treatment of stiff differentialequations. International Computing Symposium: Vol. 307 – 314.
Milner, W.E, (1953); Numerical solution of differential equation. John Wiley, New York
Musa H, MB Sulaiman, F ismail, N Senu, ZA Majid, ZB Ibrahim (2014), A new fifth Order implicit block method for solving first order stiff ordinary differential equation. Malaysian Journal of Mathematical Science. Vol. 5: 45-59.
Musa H, MB Sulaiman, F Ismail, ZB Ibrahim (2013); An accurate block solver for stiff initial value problems. ISRN Applied Mathematics. Hindawi.
Musa H., Suleiman M.B., Ismail F, Senu N, ZB Ibrahim (2012); An improved 2-point block backward differentiation formula for solving initial value problems. AIP Conference proceeding. Vol. 1522: 211-220.
Musa H, M.A.Unwala (2019); Extended 3-point super class of block backward differentiation formula for solving initial value problem. 38th conference of National Mathematical Science university of Nigeria.Nsukka.
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