On the stability functions of second derivative implicit advanced-step point methods
Author(s):
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
In the construction of efficient numerical methods for the stiff initial value problems, some second derivative multistep methods have been introduced equipping with super future point technique. In this paper, we are going to introduce a formula for the stability functions of a class of such methods. This group of methods encompasses SDBDF methods and their extensions with advanced step-point feature. This general formula, instead of obtaining the distinct stability functions for each of methods, will facilitate stability analysis of the methods.
Keywords:
Language:
English
Published:
Journal of Mathematical Modeling, Volume:10 Issue: 2, Spring 2022
Pages:
203 to 212
https://www.magiran.com/p2448900
سامانه نویسندگان
مقالات دیگری از این نویسنده (گان)
-
گزارش نماینده انجمن از چهاردهمین سمینار معادلات دیفرانسیل و سیستم های دینامیکی
خبرنامه انجمن ریاضی ایران، تابستان 1397 -
A hybrid method with optimal stability properties for the numerical solution of stiff differential systems
Akram Movahedinejad, Ali Abdi *, Gholamreza Hojjati
Computational Methods for Differential Equations, Summer 2016