A new algorithm for solving dynamic equations on a time scale

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• 作者：H. Jafari^a ; ^b ; ^{jafari@umz.ac.ir" class="auth_mail" title="E-mail the corresponding author} ; A. Haghbin^a ; S.J. Johnston^b ; D. Baleanu^c ; ^d
• 关键词：39A12 ; 39A13 ; 37N30
• 刊名：Journal of Computational and Applied Mathematics
• 出版年：2017
• 出版时间：1 March 2017
• 年：2017
• 卷：312
• 期：Complete
• 页码：167-173
• 全文大小：409 K

文摘

In this paper, we propose a numerical algorithm to solve a class of dynamic time scale equation which is called the i18" class="mathmlsrc">i18.gif&_user=111111111&_pii=S0377042716301030&_rdoc=1&_issn=03770427&md5=42992cec5fc311e2bee1e7eabe6f9f4e" title="Click to view the MathML source">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 i18" class="mathmlsrc">i18.gif&_user=111111111&_pii=S0377042716301030&_rdoc=1&_issn=03770427&md5=42992cec5fc311e2bee1e7eabe6f9f4e" title="Click to view the MathML source">q-difference equation. The results show that our method is more accurate than the other existing method.