Open AccessAn Algorithm for nth Order Intgro-Differential Equations by Using Hermite Wavelets Functions
Author(s) -
Asmaa A. Abdalrehman
Publication year - 2014
Publication title -
mağallaẗ baġdād li-l-ʿulūm
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.167
H-Index - 6
eISSN - 2411-7986
pISSN - 2078-8665
DOI - 10.21123/bsj.11.3.1290-1294
Subject(s) - hermite polynomials , wavelet , mathematics , order (exchange) , hermite spline , matrix (chemical analysis) , differential equation , hermite interpolation , series (stratigraphy) , orthogonal functions , legendre wavelet , mathematical analysis , computer science , wavelet transform , statistics , discrete wavelet transform , artificial intelligence , paleontology , materials science , finance , smoothing spline , economics , composite material , bilinear interpolation , biology , spline interpolation
In this paper, the construction of Hermite wavelets functions and their operational matrix of integration is presented. The Hermite wavelets method is applied to solve nth order Volterra integro diferential equations (VIDE) by expanding the unknown functions, as series in terms of Hermite wavelets with unknown coefficients. Finally, two examples are given