کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
815624 | 906413 | 2014 | 13 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Solving systems of linear Fredholm integro-differential equations with Fibonacci polynomials
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
سایر رشته های مهندسی
مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Solving systems of linear Fredholm integro-differential equations with Fibonacci polynomials Solving systems of linear Fredholm integro-differential equations with Fibonacci polynomials](/preview/png/815624.png)
چکیده انگلیسی
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.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Ain Shams Engineering Journal - Volume 5, Issue 1, March 2014, Pages 271–283
Journal: Ain Shams Engineering Journal - Volume 5, Issue 1, March 2014, Pages 271–283
نویسندگان
Farshid Mirzaee, Seyede Fatemeh Hoseini,