TY - JOUR ID - 9914 TI - Optimal homotopy asymptotic and multistage optimal homotopy asymptotic methods for Abel Volterra integral equation of the second kind JO - Computational Methods for Differential Equations JA - CMDE LA - en SN - 2345-3982 AU - Biazar, Jafar AU - Montazeri, Roya AD - Department of Mathematics, Faculty of Sciences, University of Guilan, P.C. 41938 Rasht, Iran AD - Department of Mathematics, Payame Noor University, P. O. Box 19395-3697, Tehran, Iran. Y1 - 2020 PY - 2020 VL - 8 IS - 4 SP - 770 EP - 780 KW - Abel integral equation KW - weakly singular Volterra equations KW - Optimal Homotopy Asymptotic method KW - multistage optimal homotopy asymptotic method KW - series solutions DO - 10.22034/cmde.2020.26806.1349 N2 - 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. UR - https://cmde.tabrizu.ac.ir/article_9914.html L1 - https://cmde.tabrizu.ac.ir/article_9914_8b268d400c57e3033b79e2ecbafb48c7.pdf ER -