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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Vydáno v:	International journal of computer mathematics Ročník 77; číslo 3; s. 457 - 467
Hlavní autoři:	Kama, P., Ibijola, E.A.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Abingdon Gordon and Breach Science Publishers 01.01.2001 Taylor and Francis
Témata:	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
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Abstract	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 to illustrate the accuracy of the algorithm.
AbstractList	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 to illustrate the accuracy of the algorithm.
Author	Ibijola, E.A. Kama, P.
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Keywords	Interpolation Accuracy Stability Differential equation Polynomial interpolation Initial value problem Consistency One step method Numerical method Perturbation Algorithm Convergence
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References	Collatz L. (CIT0001) 1966 Ibijola E.A. (CIT0005) 1998 CIT0003 Fatunla S.O. (CIT0002) 1988 Henrici P. (CIT0004) 1976 CIT0006 Labert J.D. (CIT0007) 1973
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SubjectTerms	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
Title	On a new one-step method for numerical solution of initial-value problems in ordinary differential equations
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