Construction of the Nordsieck second derivative methods with RK stability for stiff ODEs.

Autor: Ghazanfari, B., Behzad, B., Abdi, A.
Předmět:
Zdroj: Computational & Applied Mathematics; Sep2018, Vol. 37 Issue 4, p5098-5112, 15p
Abstrakt: In this paper, we study the construction and implementation of special Nordsieck second derivative general linear methods of order p and stage order q=p in which the number of input and output values is r=p rather than r=p+1. We will construct A- and L-stable methods of orders three and four in this form with Runge-Kutta stability properties. The efficiency of the constructed methods and reliability of the proposed error estimates are shown by implementing of the methods in a variable stepsize environment on some well-known stiff problems. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index