Numerical Solution of Various One and Two Steps Methods Using Gauss Lobatto Method for Approximating to Solve Fredholm Equation
Year: 2025
Type: article
Abstract: In this paper, we present a new analytical technique to obtaining the analytical approximate solutions for system of Fredholm integral equations based on the use of the Gauss Lobatto Method for approximating. We used a compute of approximate roots of Legendre polynomial by recursive relation. In the iterative method, we chose a good initial guess and initial approximation. We create the new efficient method for solving Fredholm integral and integro-differential equations of the second kind and the systems which consist such equations.
Author: SAMI H. ALTOUM
Institution: Umm al-Qura University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W6949358252
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