Work

Refined Unbiased Stochastic Approach for Fredholm Integral Equations

Year: 2024

Type: conference-paper

Abstract: Integral equations are highly relevant across various fields such as applied mathematics, physics, engineering, geophysics, electromagnetism, the kinetic theory of gases, quantum mechanics, mathematical economics, and queuing theory. This underscores the importance of creating and examining efficient and dependable methods to solve integral equations. In the context of multidimensional issues, traditional biased stochastic algorithms, which rely on a finite set of integration points, are particularly challenged by the complexities of higher dimensionality. Therefore, it is critical to develop sophisticated unbiased algorithms to address these challenges, as discussed in this paper. We introduce and evaluate a novel unbiased stochastic approach for solving multidimensional Fredholm integral equations of the second kind.

Source: Journal of Physics Conference Series

DOI: 10.1088/1742-6596/2910/1/012036

Authors: Venelin Todorov, Ivan Georgiev, Milen Chechev, Yuri Dimitrov

Institutions: Bulgarian Academy of Sciences, Institute of Mathematics and Informatics, Angel Kanchev University of Ruse, Sofia University "St. Kliment Ohridski", University of Forestry

Language: English

Topic: Mathematical Approximation and Integration

Subfield: Numerical Analysis

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4405537663

FWCI:

Cites: 4

Cited by:

Related to: 10