کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
471008 | 698582 | 2010 | 9 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Numerical solution of the higher-order linear Fredholm integro-differential-difference equation with variable coefficients
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
علوم کامپیوتر (عمومی)
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Numerical solution of the higher-order linear Fredholm integro-differential-difference equation with variable coefficients Numerical solution of the higher-order linear Fredholm integro-differential-difference equation with variable coefficients](/preview/png/471008.png)
چکیده انگلیسی
The main aim of this paper is to apply the Legendre polynomials for the solution of the linear Fredholm integro-differential-difference equation of high order. This equation is usually difficult to solve analytically. Our approach consists of reducing the problem to a set of linear equations by expanding the approximate solution in terms of shifted Legendre polynomials with unknown coefficients. The operational matrices of delay and derivative together with the tau method are then utilized to evaluate the unknown coefficients of shifted Legendre polynomials. Illustrative examples are included to demonstrate the validity and applicability of the presented technique and a comparison is made with existing results.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computers & Mathematics with Applications - Volume 59, Issue 8, April 2010, Pages 2996–3004
Journal: Computers & Mathematics with Applications - Volume 59, Issue 8, April 2010, Pages 2996–3004
نویسندگان
Abbas Saadatmandi, Mehdi Dehghan,