Опубликован 2021-10-30

APPROXIMATE SOLUTION FOR LINEAR INEGRO-DIFFERENTIAL EQUATION OF ORDER ONE BY LEGENDRE POLYNOMIALS

Аннотация


Aprroximate solution of linear integro differential equations (IDEs) of order one is presented based on the
truncated series of Legendre polynomials. Reduction technique is applied to transform the IDEs into integral equations
(IEs). Gauss Legendre quadrature formula is implemented to the kernel integrals and collocation method is used to fprm
a system of linear algebraic equations . The collocation points are chosen as the roots of Legendre polynomials. The
existence and uniqueness of the solution are shown. Rate of convergence of the proposed method is proved.

Как цитировать


yusupov, rabbim, & SINDAROV, A. (2021). APPROXIMATE SOLUTION FOR LINEAR INEGRO-DIFFERENTIAL EQUATION OF ORDER ONE BY LEGENDRE POLYNOMIALS. Журнал математики и информатики, 1(4). извлечено от https://pshedu.jdpu.uz/index.php/matinfo/article/view/3261

Авторы


Rabbim Yusupov

Jizzakh State Pedagogic Institute

AKBAR SINDAROV

Jizzakh State Pedagogical Institute

Ключевые слова:

Rate of convergence, Operational matrix

Выпуск


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