SEMI-ANALYTIC FIBONACCI POLYNOMIAL SOLUTION FOR VOLTERRA-FREDHOLM INTEGRAL EQUATION WITH ERROR ANALYSIS

被引：0
|
作者：
Mokhtar, Mahmoud M. [1 ]
El Dewaik, M. H. [2 ]
Mohamed, Amany S. [3 ]
机构：
[1] Modern Univ Technol & Informat MTI, Fac Engn, Dept Basic Sci, Cairo, Egypt
[2] British Univ Egypt, Dept Basic Sci, Cairo, Egypt
[3] Helwan Univ, Fac Sci, Dept Math, Helwan, Egypt
来源：
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2022年 / 30卷 / 08期
关键词：
Fibonacci Polynomials; Volterra-Fredholm Integral Equation; Tau Method; Error Analysis; VARIATIONAL ITERATION METHOD;
D O I：
10.1142/S0218348X22402307
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Herein, a spectral scheme is implemented and analyzed for numerically handling general Volterra-Fredholm integral equations (VFIEs), for this purpose, the linearly independent Fibonacci polynomials are utilized as basis functions for the solution, then the spectral collocation process is used to transform the integral equation into a system of algebraic equations with undetermined coefficients. The error, convergence and stability analyses of the scheme are discussed in-depth, some numerical examples are exhibited to ensure the applicability, efficiency and accuracy of the solver.
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页数：10
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