HYBRID FUNCTIONS APPROACH AND PIECEWISE CONSTANT FUNCTION BY COLLOCATION METHOD FOR THE NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS

Mirzaei, S. M.

Manuscript ID : 521810 Visit : 121 Page: 309 - 320

Article Type: Original Research

HYBRID FUNCTIONS APPROACH AND PIECEWISE CONSTANT FUNCTION BY COLLOCATION METHOD FOR THE NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS

Subject Areas : International Journal of Mathematical Modelling & Computations

S. M. Mirzaei ¹

1 - Department of Mathematics, Minoodasht Branch, Islamic Azad University, Minoodasht, Iran Iran, Islamic Republic of

Received: 2016-04-14 Accepted : 2016-04-14 Published : 2016-09-22

Keywords: Block-Pulse Function, Hybrid functions, Nonlinear Integral Equation,

Abstract :

In this work, we will compare two approximation method based on hybrid Legendre andBlock-Pulse functions and a computational method for solving nonlinear Fredholm-Volterraintegral equations of the second kind which is based on replacement of the unknown functionby truncated series of well known Block-Pulse functions (BPfs) expansion

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HYBRID FUNCTIONS APPROACH AND PIECEWISE CONSTANT FUNCTION BY COLLOCATION METHOD FOR THE NONLINEAR VOLTERRA-FREDHOLM INTEGRAL EQUATIONS