2010•Journal of mathematical extension.Open access

Nonlinear Fredholm Integral Equation of the Second Kind with Quadrature Methods

Jafari Emamzadeh Marziehe, Tavassoli Kajani Majid

Open full text 11 citations

Abstract

In this paper, a numerical method for solving the nonlinear Fredholm integral equation is presented. We intend to approximate the solution of this equation by quadrature methods and by doing so, we solve the nonlinear Fredholm integral equation more accurately. Several examples are given at the end of this paper.

About this research paper

What this paper is about

In this paper, a numerical method for solving the nonlinear Fredholm integral equation is presented. We intend to approximate the solution of this equation by quadrature methods and by doing so, we solve the nonlinear Fredholm integral equation more accurately. Several examples are given at the end of this paper.

Why it matters

OpenAlex reports 11 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

In this paper, a numerical method for solving the nonlinear Fredholm integral equation is presented. We intend to approximate the solution of this equation by quadrature methods and by doing so, we solve the nonlinear Fredholm integral equation more accurately. Several examples are given at the end of this paper.

Key concepts: Fredholm integral equation, Nyström method, Mathematics, Integral equation, Fredholm theory, Quadrature (astronomy), Nonlinear system, Summation equation

Related papers

Back to paper searchBrowse research topicsOriginal source
Nonlinear Fredholm Integral Equation of the Second Kind with Quadrature Methods — Research Paper | ScholarLens