A New Class of A-stable Implicit Schemes for Treatment of Stiff System of Ordinary Differential Equations
Abstract
In this paper, a new class of A-Stable Implicit Rational Runge-Kutta schemes were developed, analyzed and computerized to solve stiff system of ordinary differential equations. The method is motivated by the Implicit Conventional Runge – Kutta Schemes and Rational function approximation. While its development and analyses make use of Taylor series expansion (Taylor and Binomial) and Pade’s approximation techniques respectively. The schemes are convergent and A-stable.
Keywords: Rational, Runge-Kutta, Consistent, effective, Error bound, Implementation, Convergent, A-stable, A (a) stable
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ISSN (Paper)2224-5804 ISSN (Online)2225-0522
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