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Bernoulli wavelet method for numerical solutions of system of fuzzy integral equations | ||
| Computational Methods for Differential Equations | ||
| مقاله 15، دوره 9، شماره 3، مهر 2021، صفحه 846-857 اصل مقاله (354.95 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2021.22093.1257 | ||
| نویسندگان | ||
| Mohamed A. Ramadan1؛ Mohamed Reda Ali* 2 | ||
| 1Department of Mathematics, Faculty of Science, Menoua University, Egypt. | ||
| 2Department of Mathematics, Faculty of Engineering, Benha University, Egypt. | ||
| چکیده | ||
| In this paper, we have proposed an efficient numerical method to solve a system linear fuzzy Fredholm integral equations of the second kind based on Bernoulli wavelet method (BWM). 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 then we used it to transform the integral equations to the system of algebraic equations, the error estimates of the proposed method are given and compared by solving some numerical examples. | ||
| کلیدواژهها | ||
| Parametric form of a Fuzzy number؛ Bernoulli wavelets؛ Fuzzy integral equations؛ Approximate solution؛ product matrix؛ Error estimation | ||
| مراجع | ||
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