The numerical approximation for the solution of linear and non-linear integral equations of the second kind by interpolating moving least squares

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ASGARI MORTEZA; Mesforush Ali; Nazemi Alireza

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Journal Paper

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Journal: Computational Methods for Differential Equations Year:2021 | Volume:9 | Issue:3 Page(s): 830-845

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Title

The numerical approximation for the solution of linear and non-linear integral equations of the second kind by interpolating moving least squares

Author(s)

ASGARI MORTEZA | Mesforush Ali | Nazemi Alireza | Issue Writer Certificate

Keywords

Moving least

squares method

Volterra

Fredholm integro

erential equations

Error analy

sis

Abstract

In this paper, the interpolating Moving least-squares (IMLS) method is discussed. The interpolating Moving least square methodology is an e, ective technique for the approximation of an unknown function by using a set of disordered data. Then we apply the IMLS method for numerical solution of Volterra{Fredholm integral equations, and , nally some examples are given to show the accuracy and applicability of the method.

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APA: Copy

ASGARI, MORTEZA, Mesforush, Ali, & Nazemi, Alireza. (2021). The numerical approximation for the solution of linear and non-linear integral equations of the second kind by interpolating moving least squares. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 9(3), 830-845. SID. https://sid.ir/paper/1058203/en

Vancouver: Copy

ASGARI MORTEZA, Mesforush Ali, Nazemi Alireza. The numerical approximation for the solution of linear and non-linear integral equations of the second kind by interpolating moving least squares. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS[Internet]. 2021;9(3):830-845. Available from: https://sid.ir/paper/1058203/en

IEEE: Copy

MORTEZA ASGARI, Ali Mesforush, and Alireza Nazemi, “The numerical approximation for the solution of linear and non-linear integral equations of the second kind by interpolating moving least squares,” COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, vol. 9, no. 3, pp. 830–845, 2021, [Online]. Available: https://sid.ir/paper/1058203/en

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