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Optimal homotopy asymptotic and multistage optimal homotopy asymptotic methods for Abel Volterra integral equation of the second kind | ||
| Computational Methods for Differential Equations | ||
| مقاله 11، دوره 8، شماره 4، بهمن 2020، صفحه 770-780 اصل مقاله (342.24 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2020.26806.1349 | ||
| نویسندگان | ||
| Jafar Biazar1؛ Roya Montazeri* 2 | ||
| 1Department of Mathematics, Faculty of Sciences, University of Guilan, P.C. 41938 Rasht, Iran | ||
| 2Department of Mathematics, Payame Noor University, P. O. Box 19395-3697, Tehran, Iran. | ||
| چکیده | ||
| In this paper, optimal homotopy asymptotic method (OHAM) and multistage optimal homotopy asymptotic (MOHAM) method are applied to find an approximate solution to Abel’s integral equation, that is in fact a weakly singular Volterra integral equation. To illustrate these approaches one example is presented. The results confirm the efficiency and ability of these methods to such equations. The results will be compared with the exact solution to find out that which method of these two is more accurate. | ||
| کلیدواژهها | ||
| Abel integral equation؛ Weakly singular Volterra equations؛ Optimal homotopy asymptotic method؛ Multistage optimal homotopy asymptotic method؛ Series solutions | ||
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