Main Article Content
In this paper, an efficient numerical method to solve a system of linear fuzzy Fredholm integral equations of the second kind based on Bernoulli wavelet method (BWM) is proposed. Bernoulli wavelets have been generated by dilation and translation of Bernoulli polynomials. The aim of this paper is to apply Bernoulli wavelet method to obtain approximate solutions of a system of linear Fredholm fuzzy integral equations. First we introduce properties of Bernoulli wavelets and Bernoulli polynomials, then we used it to transform the integral equations to the system of algebraic equations. The error estimates of the proposed method is given and compared by solving some numerical examples.
This work is licensed under a Creative Commons Attribution 4.0 International License.
By submitting the manuscript, the authors warrant that the entire work is original and unpublished; it is submitted only to this Journal and all text, data, figures/tables or other illustrations included in the research article are completely original and unpublished, and these have not been previously published or submitted elsewhere in any form or media whatsoever. All authors are responsible for the complete contents of their manuscript. The author(s) warrant that the work contains no unlawful or libelous statements and opinions and liable materials of any kind whatsoever, do not infringe on any copyrights, intellectual property rights, personal rights or rights of any kind of others, and does not contains any plagiarized, fraudulent, improperly attributed materials, instructions, procedures, information or ideas that might cause any harm, damage, injury, losses or costs of any kind to person or property. Each author(s) agrees to defend, indemnify, and hold harmless Modern Science Publishers and the Editors for any breach of such warranties. It is authors' responsibility to obtain written copyright permissions from other sources (publishers) for reproduction of any figures, tables, photos, illustrations, text or other copyright materials from previously published work. It is the policy of Modern Science Publishers to own the copyright of all contributions it publishes. To comply with the U.S. Copyright Law, a Copyright Transfer Form that transfer copyright of the article to the publisher must be completed by the authors prior to publication of an accepted article in this journal. Authors must submit a signed copy of the Copyright Transfer Agreement with their manuscripts.