Numerical Solution for the 2D Linear Fredholm Functional Integral Equations

Neda Khaksari, Mahmoud Paripour, Nasrin Karamikabir and Xian-Ming Gu

Journal of Mathematics, 2021, vol. 2021, 1-10

Abstract: In this work, a numerical method is applied for obtaining numerical solutions of Fredholm two-dimensional functional linear integral equations based on the radial basis function (RBF). To find the approximate solutions of these types of equations, first, we approximate the unknown function as a finite series in terms of basic functions. Then, by using the proposed method, we give a formula for determining the unknown function. Using this formula, we obtain a numerical method for solving Fredholm two-dimensional functional linear integral equations. Using the proposed method, we get a system of linear algebraic equations which are solved by an iteration method. In the end, the accuracy and applicability of the proposed method are shown through some numerical applications.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:9560595

DOI: 10.1155/2021/9560595

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