A MatLab package for solving Fredholm integral equations arising from second-order boundary value problems on the real axis

Authors

  • Maria Carmela De Bonis University of Basilicata
  • Valeria Sagaria University of Basilicata

DOI:

https://doi.org/10.13135/3103-1935/12008

Keywords:

Boundary value problem, Fredholm integral equation, Nystrom method, Truncated Lagrange polynomial, Hermite polynomials

Abstract

The goal of this paper is to introduce a MatLab package for the numerical solution of second-order Boundary Value Problems (BVPs) defined on the real line. This package implements the Nyström-type method proposed in [5] for solving equivalent Fredholm Integral Equations (FIEs) of the second kind, based on a product quadrature rule having the Hermite zeros as quadrature knots. The package is easy-to-use thanks to the MatLab Graphical User Interface (GUI) BVP_Real_Axis.

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Published

2026-03-20

How to Cite

De Bonis, M. C., & Sagaria, V. (2026). A MatLab package for solving Fredholm integral equations arising from second-order boundary value problems on the real axis. Journal of Approximation Software, 3(2), 17. https://doi.org/10.13135/3103-1935/12008

Issue

Vol. 3 No. 2 (2026)

Section

Articles

License

Copyright (c) 2026 Maria Carmela De Bonis, Valeria Sagaria

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