4.7 Article

Approximate solutions of Fredholm integral equations of the second kind

Journal

APPLIED MATHEMATICS AND COMPUTATION
Volume 211, Issue 2, Pages 459-466

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2009.01.088

Keywords

Over-determined system; Least-squares method; Integral equation

Funding

  1. University Grants Commission, New Delhi, India
  2. National Board for Higher Mathematics (NBHM), India

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This note is concerned with the problem of determining approximate solutions of Fredholm integral equations of the second kind. Approximating the solution of a given integral equation by means of a polynomial, an over-determined system of linear algebraic equations is obtained involving the unknown coefficients, which is finally solved by using the least-squares method. Several examples are examined in detail. (c) 2009 Elsevier Inc. All rights reserved.

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