2024 : 11 : 22

Mohammad Mehdizadeh

Academic rank: Professor
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Education: PhD.
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Faculty: 1
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Research

Title
The new class of multistep multiderivative hybrid methods for the numerical solution of chemical stiff systems of first order IVPs
Type
JournalPaper
Keywords
Stiff IVPs Chemical reactions · Off-step points · A(a)-stability · Multiderivative methods
Year
2020
Journal JOURNAL OF MATHEMATICAL CHEMISTRY
DOI
Researchers Mohammad Mehdizadeh ، Ali Shokri Shokri ،

Abstract

In this paper, we present a general form of Nth derivative multistep methods. In these hybrid multistep multiderivative methods, additional stage points (or of-step points) have been used in the first derivative of the solution to improve the absolute stability regions. The accuracy and stability properties of these methods are investigated. We apply the new methods for the numerical integration of some famous stiff chemical problems such as Belousov–Zhabotinskii reaction, the Chapman atmosphere, chemical Akzo-Nobel problem, ROBER problem (suggested by Robertson) and some others which are widely used in numerical studies.