Applying fuzzy wavelet like operator to the numerical solution of linear fuzzy Fredholm integral equations and error ‎analysis

Authors

  • F. Mokhtarnejad Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, ‎Iran‎.
  • R. Ezzati Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, ‎Iran‎.
Abstract:

In this paper, we propose a successive approximation method based on fuzzy wavelet like operator to approximate the solution of linear fuzzy Fredholm integral equations of the second kind with arbitrary kernels. We give the convergence conditions and an error estimate. Also, we investigate the numerical stability of the computed values with respect to small perturbations in the first iteration. Finally, to show the efficiency of the proposed method, we present some test problems, for which the exact solutions are ‎known.‎

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

applying fuzzy wavelet like operator to the numerical solution of linear fuzzy fredholm integral equations and error ‎analysis

in this paper, we propose a successive approximation method based on fuzzy wavelet like operator to approximate the solution of linear fuzzy fredholm integral equations of the second kind with arbitrary kernels. we give the convergence conditions and an error estimate. also, we investigate the numerical stability of the computed values with respect to small perturbations in the first iteration....

full text

Applying fuzzy wavelet like operator to the numerical solution of linear fuzzy Fredholm integral equations and error analysis

In this paper, we propose a successive approximation method based on fuzzy wavelet like operator to approximate the solution of linear fuzzy Fredholm integral equations of the second kind with arbitrary kernels. We give the convergence conditions and an error estimate. Also, we investigate the numerical stability of the computed values with respect to small perturbations in the first iteration....

full text

Numerical solution of two-dimensional fuzzy Fredholm integral equations using collocation fuzzy wavelet like ‎operator‎

In this paper‎, ‎first we propose a new method to approximate the solution of two-dimensional linear fuzzy Fredholm integral equations of the second kind based on the fuzzy wavelet like operator‎. ‎Then‎, ‎we discuss and investigate the convergence and error analysis of the proposed method‎. ‎Finally‎, ‎to show the accuracy of the proposed method‎, ‎we present two numerical ‎examples.‎

full text

numerical solution of two-dimensional fuzzy fredholm integral equations using collocation fuzzy wavelet like ‎operator‎

in this paper‎, ‎first we propose a new method to approximate the solution of two-dimensional linear fuzzy fredholm integral equations of the second kind based on the fuzzy wavelet like operator‎. ‎then‎, ‎we discuss and investigate the convergence and error analysis of the proposed method‎. ‎finally‎, ‎to show the accuracy of the proposed method‎, ‎we present two numerical ‎examples.‎

full text

Application of Bernoulli wavelet method for numerical solution of fuzzy linear Volterra-Fredholm integral equations

This work, Bernoulli wavelet method is formed to solve nonlinear fuzzy Volterra-Fredholm integral equations. Bernoulli wavelets have been Created by dilation and translation of Bernoulli polynomials. First we introduce properties of Bernoulli wavelets and Bernoulli polynomials, and then we used it to transform the integral equations to the system of algebraic equations. We compared the result o...

full text

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}


Journal title

volume 7  issue 3

pages  219- 229

publication date 2015-07-01

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

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023