On a new one-step method for numerical solution of initial-value problems in ordinary differential equations

In this paper, we propose a numerical algorithm which is based on the representation of the theoretical solution by a perturbation of a polynomial interpolating function with an exponential function. The numerical algorithm is stable, consistent and convergent. Some numerical results were obtained t...

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Bibliographic Details
Published in:	International journal of computer mathematics Vol. 77; no. 3; pp. 457 - 467
Main Authors:	Kama, P., Ibijola, E.A.
Format:	Journal Article
Language:	English
Published:	Abingdon Gordon and Breach Science Publishers 01.01.2001 Taylor and Francis
Subjects:	Consistency Exact sciences and technology G1.7 Initial value Interpolating function Mathematics Numerical analysis Numerical analysis. Scientific computation Ordinary differential equations Sciences and techniques of general use Stability Interpolation Accuracy Stability Differential equation Polynomial interpolation Initial value problem Consistency One step method Numerical method Perturbation Algorithm Convergence
ISSN:	0020-7160, 1029-0265
Online Access:	Get full text
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