Towards a Derivative Free Rational one step Method for Solving Stiff Initial Value Problems

Ronald Tshelametse; Thuso Nkatse

doi:https://doi.org/10.14445/22315373/IJMTT-V14P510

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 14 | Number 1 | Year 2014 | Article Id. IJMTT-V14P510 | DOI : https://doi.org/10.14445/22315373/IJMTT-V14P510

Towards a Derivative Free Rational one step Method for Solving Stiff Initial Value Problems

Ronald Tshelametse , Thuso Nkatse

Citation :

Ronald Tshelametse , Thuso Nkatse, "Towards a Derivative Free Rational one step Method for Solving Stiff Initial Value Problems," International Journal of Mathematics Trends and Technology (IJMTT), vol. 14, no. 1, pp. 66-71, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V14P510

Abstract

We present a derivative free rational one step scheme of order two, capable of solving Ordinary differential equations which are stiff and others with singular solution. The scheme allows for the use of the state function alone and does not require calculation of higher derivatives of f(yn), and the proposed strategy was compared to the scheme of Van-Niekerk of which almost similar results were obtained for stiff problems.

Keywords

Rational Methods, Stiff problems, Singular solutions.

References

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