Solution and analysis of the fuzzy Volterra integral equations via homotopy analysis method

A Jameel, NR Anakira, AK Alomari… - Computer Modeling in …, 2021 - ingentaconnect.com
Homotopy Analysis Method (HAM) is semi-analytic method to solve the linear and nonlinear
mathematical models which can be used to obtain the approximate solution. The HAM …

Numerical Simulation of Fuzzy Volterra Integro-differential‎ Equation using Improved Runge-Kutta Method

F Rabiei, F Abd Hamid, MM Rashidi, Z Ali… - Journal of applied and …, 2023 - jacm.scu.ac.ir
In this research, fourth-order Improved Runge-Kutta method with three stages for solving
fuzzy Volterra integro-differential (FVID) equations of the second kind under the concept of …

[HTML][HTML] Computation of semi-analytical solutions of fuzzy nonlinear integral equations

Z Ullah, A Ullah, K Shah, D Baleanu - Advances in Difference Equations, 2020 - Springer
In this article, we use a fuzzy number in its parametric form to solve a fuzzy nonlinear integral
equation of the second kind in the crisp case. The main theme of this article is to find a semi …

[HTML][HTML] Homotopy perturbation method: a versatile tool to evaluate linear and nonlinear fuzzy Volterra integral equations of the second kind

S Narayanamoorthy, SP Sathiyapriya - SpringerPlus, 2016 - Springer
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 …

An efficient method to solve fuzzy Volterra integral equations using Fibonacci polynomials

M Darabi, T Allahviranloo - Journal of Intelligent & Fuzzy …, 2021 - content.iospress.com
According to a huge interest in implementation of the fuzzy Volterra integral equations,
especially the second kind, researchers have been investigating to solve such equations …

On Bernoulli and Hermite Polynomial Collocation Methods to solve Fuzzy Volterra integral equations of the second kind

M Darabi, A Seifi - 2022 - researchsquare.com
In this work we introduced an efficient method based on Bernoulli and Hermite polynomial
collocation methods for solving fuzzy Volterra integral equations of the second kind. Two …

Analytical and Numerical Methods for Solving Linear Fuzzy Volterra Integral Equation of the Second Kind

JTAR Hamaydi - 2016 - repository.najah.edu
Integral equations, in general, play a very important role in Engineering and technology due
to their wide range of applications. Fuzzy Volterra integral equations in particular have many …