New second derivative multistep methods for stiff systems |
| |
Authors: | G Hojjati MY Rahimi Ardabili SM Hosseini |
| |
Institution: | 1. Faculty of Mathematics, Tabriz University, 29 Bahman Street, 5166614766 Tabriz, Iran;2. Department of Mathematics, Tarbiat Modarres University, P.O. Box 14115-175, Tehran, Iran |
| |
Abstract: | In this paper we present details of a new class of second derivative multistep methods. Stability analysis is discussed and an improvement in stability region is obtained. With a simple modification we take advantage of calling for the solution of algebraic equations with the same coefficient matrix in each step. Moreover, using IOM to solve the resulting linear systems, the coefficient matrix is not needed explicitly. Some numerical experiments and comparison with several popular codes are given, showing strong superiority of this new class of methods. |
| |
Keywords: | Stiff ODEs Multistep and multiderivative methods Stability aspects IOM |
本文献已被 ScienceDirect 等数据库收录! |
|