Solving a System of Fuzzy Integral Equations by an Analytic Method
نویسندگان
چکیده
Abstract In this paper, we use new parametic formof fuzzy numbers and convert a system of fuzzy integral equations to two system of integral equations in crisp. Then we solve a system of fuzzy integral equations by means of an analytic technique, namely the homotopy analysis method (HAM). Using the HAM, it is possible to find the exact solution or an approximate solution of the problem. The results reveal that the proposed method is very effective and simple. Numerical examples are presented to illustrate the proposed model.
منابع مشابه
A new method for solving two-dimensional fuzzy Fredholm integral equations of the second kind
In this work, we introduce a novel method for solving two-dimensional fuzzy Fredholm integral equations of the second kind (2D-FFIE-2). We use new representation of parametric form of fuzzy numbers and convert a two-dimensional fuzzy Fredholm integral equation to system of two-dimensional Fredholm integral equations of the second kind in crisp case. We can use Adomian decomposition method for n...
متن کاملSolving Linear Fred Holm Fuzzy Integral Equations of the Second Kind by Modified Trapezoidal Method
One of the methods for solving definite integrals is modified trapezoid method, which is obtained by using Hermitian interpolation (see e.g. [12]). In this article, we have used modified trapezoid quadrature method and Generalized differential to solve the Fredholm fuzzy integral equations of the second kind. This method leads to solve fuzzy linear system. Finally the proposed method is illustr...
متن کاملBernoulli collocation method with residual correction for solving integral-algebraic equations
The principal aim of this paper is to serve the numerical solution of an integral-algebraic equation (IAE) by using the Bernoulli polynomials and the residual correction method. After implementation of our scheme, the main problem would be transformed into a system of algebraic equations such that its solutions are the unknown Bernoulli coefficients. This method gives an analytic solution when ...
متن کاملA New Iterative Method For Solving Fuzzy Integral Equations
In the present work, by applying known Bernstein polynomials and their advantageous properties, we establish an efficient iterative algorithm to approximate the numerical solution of fuzzy Fredholm integral equations of the second kind. The convergence of the proposed method is given and the numerical examples illustrate that the proposed iterative algorithm are valid.
متن کاملApplication of Fuzzy Bicubic Splines Interpolation for Solving Two-Dimensional Linear Fuzzy Fredholm Integral Equations
In this paper, firstly, we review approximation of fuzzy functions by fuzzy bicubic splines interpolation and present a new approach based on the two-dimensional fuzzy splines interpolation and iterative method to approximate the solution of two-dimensional linear fuzzy Fredholm integral equation (2DLFFIE). Also, we prove convergence analysis and numerical stability analysis ...
متن کامل