Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
NUMERICAL SOLUTIONS OF HERMITE DIFFERENTIAL EQUATIONS USING LEGENDRE MULTIWAVELETS
View through CrossRef
This paper presents a numerical method for solving Hermite differential equations (HDEs) using operational integration matrices derived from Legendre multiwavelets of linear, quadratic, and cubic orders. The proposed technique transforms HDEs into algebraic systems, enabling efficient and accurate numerical solutions. Through several illustrative examples, the method’s effectiveness is demonstrated, with Cubic Legendre Multiwavelets (CLMW) exhibiting superior accuracy in approximating exact solutions.
Title: NUMERICAL SOLUTIONS OF HERMITE DIFFERENTIAL EQUATIONS USING LEGENDRE MULTIWAVELETS
Description:
This paper presents a numerical method for solving Hermite differential equations (HDEs) using operational integration matrices derived from Legendre multiwavelets of linear, quadratic, and cubic orders.
The proposed technique transforms HDEs into algebraic systems, enabling efficient and accurate numerical solutions.
Through several illustrative examples, the method’s effectiveness is demonstrated, with Cubic Legendre Multiwavelets (CLMW) exhibiting superior accuracy in approximating exact solutions.
Related Results
A fast algorithm for constructing orthogonal multiwavelets
A fast algorithm for constructing orthogonal multiwavelets
AbstractMultiwavelets possess some nice features that uniwavelets do not. A consequence of this is that multiwavelets provide interesting applications in signal processing as well ...
ON GEOMETRIC AND ORTHOGONAL MOMENTS
ON GEOMETRIC AND ORTHOGONAL MOMENTS
Moments are widely used in pattern recognition, image processing, computer vision and multiresolution analysis. To clarify and to guide the use of different types of moments, we pr...
Hermite polynomial normal transformation for structural reliability analysis
Hermite polynomial normal transformation for structural reliability analysis
Purpose
Normal transformation is often required in structural reliability analysis to convert the non-normal random variables into independent standard normal variables. The existi...
INTEGRASI NUMERIK DENGAN METODE KUADRATUR GAUSS-LEGENDRE MENGGUNAKAN PENDEKATAN INTERPOLASI HERMITE DAN POLINOMIAL LEGENDRE
INTEGRASI NUMERIK DENGAN METODE KUADRATUR GAUSS-LEGENDRE MENGGUNAKAN PENDEKATAN INTERPOLASI HERMITE DAN POLINOMIAL LEGENDRE
Abstrak. Integrasi Numerik merupakan metode aproksimasi untuk memperoleh nilaiintegral suatu fungsi secara numerik. Metode ini digunakan pada fungsi-fungsi yangdiintegralkan secara...
An operative approach to solve Homogeneous differential--anti-differential equations
An operative approach to solve Homogeneous differential--anti-differential equations
In this work, we extend the theory of differential equations through a
new way. To do this, we give an idea of differential–anti-differential
equations and dene ordinary as well as...
Biorthogonal interpolatory multiscaling functions and corresponding multiwavelets
Biorthogonal interpolatory multiscaling functions and corresponding multiwavelets
A method for constructing a pair of biorthogonal interpolatory multiscaling functions is given and an explicit formula for constructing the corresponding biorthogonal multiwavelets...
Legendre Matrix Method for Legendre Curve in Sasakian 3-Manifold
Legendre Matrix Method for Legendre Curve in Sasakian 3-Manifold
Abstract
In this study, unit-speed the Legendre curves are studied in Sasakian 3-manifold. Firstly, differential equations characterizing the Legendre curves are obt...
A Legendre wavelet collocation method for solving neutral delay differential equations
A Legendre wavelet collocation method for solving neutral delay differential equations
The Legendre wavelet based method has been employed in this paper to investigate neutral delay differential equations. The highest order derivative is approximated by Legendre wave...