Using PG Elements for Solving Fredholm Integro-Differential Equations

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  • Majid Karami1,
  1. South Tehran Branch, Islamic Azad university Iran, Islamic Republic of

Received: 02-11-2013

Revised: 08-02-2014

Accepted: 16-03-2014

Published in Issue 21-03-2014

Copyright (c) 2024 International Journal of Mathematical Modeling & Computations

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How to Cite

Karami, M. (2014). Using PG Elements for Solving Fredholm Integro-Differential Equations. International Journal of Mathematical Modelling & Computations, 4(4), 331-339. https://oiccpress.com/ijm2c/article/view/11229

Abstract

In this paper, we use Petrov-Galerkin elements such as continuous and discontinuous Lagrange-type k-0 elements and Hermite-type 3-1 elements to find an approximate solution for linear Fredholm integro-differential equations on [0,1]. Also weshow the efficiency of this method by some numerical examples

Keywords

  • Integro-differential equations,
  • Petrov-Galerkin method,
  • Regular pair,
  • Trial space,
  • Test space
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