TY - JOUR
ID -
TI - Homotopy Perturbation Method and Convergence Analysis for the Linear Mixed Volterra-Fredholm Integral Equations
AU - Pakhshan Mohammed Ameen Hasan*
AU - Nejmaddin Abdulla Sulaiman
PY - 2020
VL - 61
IS - 2
SP - 409
EP - 415
JO - Iraqi Journal of Science المجلة العراقية للعلوم
SN - 00672904 23121637
AB -
In this paper, the homotopy perturbation method is presented for solving the second kind linear mixed Volterra-Fredholm integral equations. Then, Aitken method is used to accelerate the convergence. In this method, a series will be constructed whose sum is the solution of the considered integral equation. Convergence of the constructed series is discussed, and its proof is given; the error estimation is also obtained. For more illustration, the method is applied on several examples and programs, which are written in MATLAB (R2015a) to compute the results. The absolute errors are computed to clarify the efficiency of the method.
ER -