USING PG ELEMENTS FOR SOLVING FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS

Karami, Majid

Manuscript ID : 521871 Visit : 118 Page: 331 - 339

Article Type: Original Research

USING PG ELEMENTS FOR SOLVING FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS

Subject Areas : International Journal of Mathematical Modelling & Computations

Majid Karami ¹

1 - South Tehran Branch, Islamic Azad university Iran, Islamic Republic of

Received: 2016-04-15 Accepted : 2016-04-15 Published : 2014-03-21

Keywords: integro-differential equations, Petrov-Galerkinmethod, Regular pair, Trial space, Test space,

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

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USING PG ELEMENTS FOR SOLVING FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS