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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Veröffentlicht in:International journal of computer mathematics Jg. 77; H. 3; S. 457 - 467
Hauptverfasser: Kama, P., Ibijola, E.A.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Abingdon Gordon and Breach Science Publishers 01.01.2001
Taylor and Francis
Schlagworte:
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-Zugang:Volltext
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Zusammenfassung: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.
ISSN:0020-7160
1029-0265
DOI:10.1080/00207160108805078