Numerical solution of nonlinear fuzzy Fredholm integral equations using iterative method

R Ezzati, S Ziari - Applied Mathematics and Computation, 2013 - Elsevier
In this paper, we propose an iterative procedure based on quadrature formula to solve
nonlinear fuzzy Fredholm integral equations of the second kind. Moreover, the error …

Numerical solutions of the nonlinear fuzzy Hammerstein–Volterra delay integral equations

AM Bica, C Popescu - Information Sciences, 2013 - Elsevier
In this paper, an iterative numerical method that solves nonlinear fuzzy Hammerstein–
Volterra integral equations with constant delay is developed. By using the error estimates, a …

Open fuzzy cubature rule with application to nonlinear fuzzy Volterra integral equations in two dimensions

AM Bica, S Ziari - Fuzzy Sets and Systems, 2019 - Elsevier
In this paper we propose an open fuzzy cubature formula and as application we construct an
iterative numerical method for solving nonlinear fuzzy Volterra integral equations in two …

Iterative numerical method for fuzzy Volterra linear integral equations in two dimensions

AM Bica, S Ziari - Soft Computing, 2017 - Springer
In this paper, we propose an iterative numerical method for two-dimensional fuzzy Volterra
linear integral equations. The method uses a recent fuzzy trapezoidal cubature formula for …

One-sided fuzzy numbers and applications to integral equations from epidemiology

AM Bica - Fuzzy Sets and Systems, 2013 - Elsevier
In this paper we present the algebraic and topological structure of one-sided fuzzy numbers
and introduce the notion of side preserving fuzzy-number-valued function. We define the …

Numerical Solution of First‐Order Linear Differential Equations in Fuzzy Environment by Runge‐Kutta‐Fehlberg Method and Its Application

SP Mondal, S Roy, B Das - International Journal of Differential …, 2016 - Wiley Online Library
The numerical algorithm for solving “first‐order linear differential equation in fuzzy
environment” is discussed. A scheme, namely,“Runge‐Kutta‐Fehlberg method,” is …

Iterative numerical method for pantograph type fuzzy Volterra integral equations

AM Bica, Z Satmari - Fuzzy sets and Systems, 2022 - Elsevier
In this paper a sequence of fuzzy Bernstein spline interpolation procedure is considered for
approximating the solution of pantograph type fuzzy Volterra integral equation. The …

Numerical solution of nonlinear fuzzy Volterra integral equations of the second kind for changing sign kernels

F Saberirad, SM Karbassi, M Heydari - Soft Computing, 2019 - Springer
In this research, a numerical iterative method based on the trapezoidal quadrature rule to
solve the nonlinear fuzzy Volterra integral equations of the second kind (NFVIEs-2) with …

Solution of fuzzy singular integral equation with Abel's type kernel using a novel hybrid method

S Bushnaq, Z Ullah, A Ullah, K Shah - Advances in Difference Equations, 2020 - Springer
In this paper, we are applying a novel analytical hybrid method to find the solution of a fuzzy
Volterra Abel's integral equation of the second kind. The fuzzy number is used in its …

An iterative numerical method to solve nonlinear fuzzy Volterra-Hammerstein integral equations

S Ziari, AM Bica - Journal of Intelligent & Fuzzy Systems, 2019 - content.iospress.com
In this paper, an iterative numerical method has been developed to solve nonlinear fuzzy
Volterra integral equations based on three-point quadrature formula. The error estimation of …