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04-05-2019 | Methodologies and Application

A new efficient method using Fibonacci polynomials for solving of first-order fuzzy Fredholm–Volterra integro-differential equations

Authors: A. Seifi, T. Lotfi, T. Allahviranloo

Published in: Soft Computing | Issue 19/2019

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Abstract

In this paper, a new numerical approach based on Fibonacci polynomials is proposed for solving first-order fuzzy Fredholm–Volterra integro-differential equations of the second kind. The existence, uniqueness and convergence of the solution under generalized differentiability are proved. Because of reducing the problem into a system of linear algebraic equations, this simple method is computationally attractive. The reliability and accuracy of the presented scheme are demonstrated by several numerical experiments.

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Title: A new efficient method using Fibonacci polynomials for solving of first-order fuzzy Fredholm–Volterra integro-differential equations
Authors: A. Seifi
T. Lotfi
T. Allahviranloo
Publication date: 04-05-2019
Publisher: Springer Berlin Heidelberg
Published in: Soft Computing / Issue 19/2019
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-019-04031-1

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