Numerical solution of a fredholm integral equation of the second kind involving some dual series equations

N. A. Hoshan, Y. A. Al-Jarrah, E. B. Lin

Research output: Contribution to journalArticlepeer-review

Abstract

In this article, the Laplace equation with nonhomogenous mixed boundary conditions, defined on a surface of semi-infinite cylinder is solved by using dual series equations (DSE). The DSE method is based on transforming the mixed problem to a Fredholm integral equation of second kind, where the resulted integral equation is equipped with kernel defined of infinite integral. We solved the equation by using numerical quadrature method and obtain the numerical solution for the Laplace equation.

Original languageEnglish
Pages (from-to)1557-1569
Number of pages13
JournalJournal of Mathematical and Computational Science
Volume11
Issue number2
DOIs
StatePublished - 2021

Keywords

  • Dual series equations
  • Fredholm integral equation
  • Laplace equation
  • Quadrature method

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