15-12-2025
جامعة الملك عبدالعزيز
KING ABDULAZIZ UNIVERSITY
Faculty of Computing and Information Technology in Rabigh
Document Details
Document Type
:
Article In Journal
Document Title
:
Solution of nonlinear Fredholm integro-differential equations using a hybrid of block pulse functions and normalized Bernstein polynomials
حل معادلات فريدولم (Fredholm) التكاملية التفاضلية غير الخطية باستخدام مزيج من وظائف كتلة النبض ومتعددة بيرنشتاين (Bernstein)
Subject
:
Applied Mathematics
Document Language
:
English
Abstract
:
A numerical method for solving nonlinear Fredholm integro-differential equations is proposed. The method is based on hybrid function approximations. The properties of a hybrid of block pulse functions and orthonormal Bernstein polynomials are presented and utilized to reduce the problem to the solution of nonlinear algebraic equations. Numerical examples are introduced to illustrate the effectiveness and simplicity of the present method.
ISSN
:
0377-0427
Journal Name
:
Journal of Computational and Applied Mathematics
Volume
:
260
Issue Number
:
1
Publishing Year
:
1435 AH
2014 AD
Article Type
:
Article
Added Date
:
Wednesday, February 24, 2016
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
صلاح حلمي بحيري
Behiry, Salah Helmy
Investigator
Doctorate
sbehiry@kau.edu.sa
Files
File Name
Type
Description
38283.pdf
pdf
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