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 Abelâ€™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 -