A class of numerical methods for autonomous initial value problems

Main Article Content

Flavius Olimpiu Pătrulescu

Abstract

In this paper we introduce a class of explicit numerical methods for
approximating the solutions of scalar initial value problems for
first order differential equations, using a nonlinear interpolation
formula. We show that the methods generated in this way can be
identified as explicit Runge-Kutta methods and we analyze some
particular cases. Finally, numerical examples are provided.
Keywords
initial value problem, stability region, convergence order, local truncation error

Article Details

How to Cite
Pătrulescu, F. (2012). A class of numerical methods for autonomous initial value problems. Rev. Anal. Numér. Théor. Approx., 41(1), 82-92. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/2012-vol41-no1-art7
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