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Hossein Jafari

Hossein Jafari

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 2466

Research

Title
A new algorithm for solving dynamic equations on a time scale
Type
JournalPaper
Keywords
q-difference equations Delta derivative Time scale q-difference
Year
2017
Journal JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
DOI
Researchers Hossein Jafari ، Ahmad Haghbin ، Sarah Jane Johnston ، Dumitru Baleanu

Abstract

In this paper, we propose a numerical algorithm to solve a class of dynamic time scale equation which is called the q-difference equation. First, we apply the method for solving initial value problems (IVPs) which contain the first and second order delta derivatives. Illustrative examples show the usefulness of the method. Then we present applications of the method for solving the strongly non-linear damped q-difference equation. The results show that our method is more accurate than the other existing method.