Analytics using Homotopy Analysis Method for Kind-II Double Dimension Fuzzy Fredholm Integral Equations
DOI:
https://doi.org/10.32350/sir.103.03Keywords:
absolute error, deformation, double dimension, fuzzy, homotopy, integral equations, maclaurinAbstract
In this manuscript, a semi-analytical method known as Homotopy Analysis Method (HAM) is proposed to solve the mathematical models that can be used to approximate the solutions. The method includes an auxiliary parameter that is an efficient way to examine the accuracy of the problems. The main purpose of this study is to explore the approximate solutions of Kind-II Double Dimension Fuzzy Fredholm Integral Equations (KII-DD-FF-IEqs) using HAM. It gives a reliable approach to confirm the convergence of the approximation series. A convergence of HAM is also presented graphically. The performance of the HAM as compared to the Homotopy Perturbation Method (HPM) is illustrated with numerical examples by solving KII-DD-FF-IEqs. The solutions sought by HAM exhibit that the proposed method is easy to apply and computationally quite attractive.
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Copyright (c) 2026 Sajid Hussain, Muhammad Sajid Rashid, Javid Shabbir, Shafqat Ali, Samer Parveen, Muhammad Ameeq
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