کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8901269 1631734 2018 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Two-dimensional shifted Legendre polynomials operational matrix method for solving the two-dimensional integral equations of fractional order
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Two-dimensional shifted Legendre polynomials operational matrix method for solving the two-dimensional integral equations of fractional order
چکیده انگلیسی
This work approximates the unknown functions based on the two-dimensional shifted Legendre polynomials operational matrix method (2D-SLPOM) for the numerical solution of two-dimensional fractional integral equations. The present method reduces these equations to a system of algebraic equations and then this system will be solved numerically by Newton's method. Moreover, an estimation of the error bound for this algorithm will be shown by preparing some theorems. Some examples are presented to demonstrate the validity and applicability of the proposed method with respect to the two-dimensional block pulse functions method (2D-BPFs) and two-dimensional Bernstein polynomials operational matrix method (2D-BPOM).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 322, 1 April 2018, Pages 40-54
نویسندگان
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