A compact discretization of the boundary value problems of the nonlinear Fredholm integro-differential equations

سال انتشار: 1403
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 174

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شناسه ملی سند علمی:

JR_JMMO-12-2_003

تاریخ نمایه سازی: 18 تیر 1403

چکیده مقاله:

In this paper, we propose a  fourth-order compact discretization method   for solving a second-order boundary value problem governed by the nonlinear Fredholm integro-differential equations.  Using an efficient approximate polynomial,  a  compact numerical integration method is first designed. Then by applying the derived numerical integration formulas, the original problem is converted into a nonlinear system of algebraic equations.  It is shown that the proposed method is easy to implement and has the third order of accuracy in the infinity norm. Some  numerical examples are presented to demonstrate its  approximation accuracy and computational efficiency,   as well as to compare the derived results with those  obtained in the literature.

نویسندگان

Sadegh Amiri

Department of Basic Sciences, Shahid Sattari Aeronautical University of Science and Technology, P.O. Box: ۱۳۸۴۶-۶۳۱۱۳, Tehran, Iran

Mojtaba Hajipour

Department of Mathematics, Sahand University of Technology, P.O. Box: ۵۱۳۳۵-۱۹۹۶, Tabriz, Iran