Open AccessHermite collocation method for solving Hammerstein integral equations
Author(s) -
Y. A. Amer
Publication year - 2018
Publication title -
journal of advances in mathematics
Language(s) - English
Resource type - Journals
ISSN - 2347-1921
DOI - 10.24297/jam.v14i1.6716
Subject(s) - hermite polynomials , mathematics , algebraic equation , collocation method , integral equation , collocation (remote sensing) , volterra integral equation , matrix (chemical analysis) , hermite interpolation , mathematical analysis , differential equation , ordinary differential equation , nonlinear system , computer science , physics , materials science , quantum mechanics , machine learning , composite material
In this paper, we are presenting Hermite collocation method to solve numer- ically the Fredholm-Volterra-Hammerstein integral equations. We have clearly presented a theory to …nd ordinary derivatives. This method is based on replace- ment of the unknown function by truncated series of well known Hermite expan-sion of functions. The proposed method converts the equation to matrix equation which corresponding to system of algebraic equations with Hermite coe¢ cients. Thus, by solving the matrix equation, Hermite coe¢ cients are obtained. Some numerical examples are included to demonstrate the validity and applicability of the proposed technique.