A new method for solving two-dimensional fuzzy Fredholm integral equations of the second kind

Authors

  • ali Seifi Department of Mathematics, Islamic Azad University, Kermanshah Branch, Kermanshah, Iran
  • Mahmoud Paripour Department of Mathematics, Hamedan University of Technology, Hamedan, Iran
  • Mohsen Darabi Department of Mathematics, Islamic Azad University, Hamedan Branch, Hamedan, Iran
Abstract:

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 nding the approximation solution of the each equation, hence obtain an approximation for fuzzy solution of 2D-FFIE-2. We prove the convergence of the method and nally apply the method to some examples

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

New iterative method for solving linear Fredholm fuzzy integral equations of the second kind

full text

new iterative method for solving linear fredholm fuzzy integral equations of the second kind

full text

The modified degenerate kernel method for the multi-dimensional Fredholm integral equations of the second kind

In this paper, to investigate the multi-dimensional Fredholm integral equations of the second kind a modified degenerate kernel method is used. To construct the mentioned modified,  the source function is approximated by the same method which  employed to obtain a degenerate approximation of the kernel.  The Lagrange interpolation method is used to make the needed approximations. The error and ...

full text

A Computational Method for Solving Two-dimensional Linear Fredholm Integral Equations of the Second Kind

In this paper an expansion method, based on Legendre or any orthogonal polynomials, is developed to find numerical solutions of two-dimensional linear Fredholm integral equations. We estimate the error of the method, and present some numerical examples to demonstrate the accuracy of the method. 2000 Mathematics subject classification: 65R20.

full text

new iterative method for solving linear fredholm fuzzy integral equations of the second kind

0

full text

Degenerate kernel approximation method for solving Hammerstein system of Fredholm integral equations of the second kind

Degenerate kernel approximation method is generalized to solve Hammerstein system of Fredholm integral equations of the second kind. This method approximates the system of integral equations by constructing degenerate kernel approximations and then the problem is reduced to the solution of a system of algebraic equations. Convergence analysis is investigated and on some test problems, the propo...

full text

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}


Journal title

volume 14  issue 2

pages  1- 12

publication date 2020-12-01

{@ msg @}

By following a journal you will be notified via email when a new issue of this journal is published.

Keywords

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023