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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Popis
Shrnutí: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