Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
815624 | Ain Shams Engineering Journal | 2014 | 13 Pages |
Abstract
In this paper, we introduce a method to solve systems of linear Fredholm integro-differential equations in terms of Fibonacci polynomials. First, we present some properties of these polynomials then a new approach implementing a collocation method in combination with matrices of Fibonacci polynomials is introduced to approximate the solution of high-order linear Fredholm integro-differentail equations systems with variable coefficients under the mixed conditions. Numerical results with comparisons are given to confirm the reliability of the proposed method for solving these systems of equations.
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Authors
Farshid Mirzaee, Seyede Fatemeh Hoseini,