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

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.

Keywords:

• Initial value
• Stability
• Consistency
• Interpolating function

C.R. Category::

• G1.7

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^∗Corresponding author

Notes

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