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VIM-Pad´e technique for solving nonlinear and delay initial value problems | ||
| Computational Methods for Differential Equations | ||
| مقاله 8، دوره 9، شماره 3، مهر 2021، صفحه 749-761 اصل مقاله (603.12 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2020.35417.1606 | ||
| نویسندگان | ||
| Asadollah Torabi Giklou1، 2؛ Mojtaba Ranjbar* 3، 4؛ Mahmoud Shafiee2؛ Vahid Roomi3 | ||
| 1Department of Mathematics, Guilan Science and Research Branch, Islamic Azad University, Rasht, Iran. | ||
| 2Department of Mathematics, Rasht Branch, Islamic Azad University, Rasht, Iran. | ||
| 3Department of Mathematics, Azarbaijan Shahid Madani University, Tabriz, Iran. | ||
| 4Faculty of Finance Sciences, Kharazmi University, Tehran, Iran. | ||
| چکیده | ||
| In this work, we employ a combination of variational iteration method (VIM) and Pad´e approximation method, called the VIM-Pad´e technique, to solve some nonlinear initial value problems and a delay differential equation (DDE). Some examples are provided to illustrate the capability and reliability of the technique. The obtained results by using the VIM are compared to the results of this technique. This comparison shows that VIM-Pad´e technique is more effective than VIM and yields faster convergence compared to the VIM. | ||
| کلیدواژهها | ||
| Nonlinear initial value problem؛ Delay differential equation؛ Variational iteration method؛ Padé technique؛ VIM-Pade technique | ||
| مراجع | ||
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