title: Homotopy perturbation method: a versatile tool to evaluate linear and nonlinear fuzzy Volterra integral equations of the second kind.
abstract: In this article, we focus on linear and nonlinear fuzzy Volterra integral equations of the second kind and we propose a numerical scheme using homotopy perturbation method (HPM) to obtain fuzzy approximate solutions to them. To facilitate the benefits of this proposal, an algorithmic form of the HPM is also designed to handle the same. In order to illustrate the potentiality of the approach, two test problems are offered and the obtained numerical results are compared with the existing exact solutions and are depicted in terms of plots to reveal its precision and reliability.
authors.affiliation: Department of Mathematics, Bharathiar University, Coimbatore, Tamil Nadu 641 046 India.
authors.forename: S
authors.initials: S
authors.lastname: Narayanamoorthy
authors.affiliation: Department of Mathematics, Bharathiar University, Coimbatore, Tamil Nadu 641 046 India.
authors.forename: S P
authors.initials: SP
authors.lastname: Sathiyapriya
keywords: Approximate solutions; Error analysis; Fuzzy Volterra integral equations; Homotopy perturbation method; Numerical technique and algorithm