International Journal of Engineering Technology and Scientific Innovation
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Title:
NUMERICAL SCHEME BASED ON INTERPOLATION FUNCTION FOR SOLVING STIFF DIFFERENTIAL EQUATIONS

Authors:
A. FOSU

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A. FOSU
Department of Pure & Applied Mathematics; Faculty of Science, Engineering and Technology; Walter Sisulu University; Private Bag X1, Mthatha 5117; Republic of South Africa.

MLA 8
FOSU, A. "NUMERICAL SCHEME BASED ON INTERPOLATION FUNCTION FOR SOLVING STIFF DIFFERENTIAL EQUATIONS." IJETSI, vol. 4, no. 5, Oct. 2019, pp. 217-226, ijetsi.org/more2019.php?id=17. Accessed Oct. 2019.
APA
FOSU, A. (2019, October). NUMERICAL SCHEME BASED ON INTERPOLATION FUNCTION FOR SOLVING STIFF DIFFERENTIAL EQUATIONS. IJETSI, 4(5), 217-226. Retrieved from ijetsi.org/more2019.php?id=17
Chicago
FOSU, A. "NUMERICAL SCHEME BASED ON INTERPOLATION FUNCTION FOR SOLVING STIFF DIFFERENTIAL EQUATIONS." IJETSI 4, no. 5 (October 2019), 217-226. Accessed October, 2019. ijetsi.org/more2019.php?id=17.

References
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Abstract:
The initial value problems with stiff ordinary differential equation systems occur in many fields of engineering, particularly in the studies of electrical circuits, vibrations, chemical reactions and also in many non-industrial areas like weather prediction. The aim of this study is to propose a one-step numerical scheme that can solve some of these problem of stiff ordinary differential equations. The derivation of the scheme is based on interpolating functions. The efficiency of the method is examined in terms of consistency, stability and convergence as well as construct the Region of Absolute Stability (RAS) of the scheme.

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