# Haar wavelets method for solving Pocklington's integral equation

M. Shamsi; Mohsen Razzaghi; J. Nazarzadeh; Masoud Shafiee

Kybernetika (2004)

- Volume: 40, Issue: 4, page [491]-500
- ISSN: 0023-5954

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topShamsi, M., et al. "Haar wavelets method for solving Pocklington's integral equation." Kybernetika 40.4 (2004): [491]-500. <http://eudml.org/doc/33714>.

@article{Shamsi2004,

abstract = {A simple and effective method based on Haar wavelets is proposed for the solution of Pocklington’s integral equation. The properties of Haar wavelets are first given. These wavelets are utilized to reduce the solution of Pocklington’s integral equation to the solution of algebraic equations. In order to save memory and computation time, we apply a threshold procedure to obtain sparse algebraic equations. Through numerical examples, performance of the present method is investigated concerning the convergence and the sparseness of resulted matrix equation.},

author = {Shamsi, M., Razzaghi, Mohsen, Nazarzadeh, J., Shafiee, Masoud},

journal = {Kybernetika},

keywords = {Pocklington integral equation; numerical solutions; Haar wavelets; Pocklington integral equation; Haar wavelets; sparse algebraic equations; numerical examples; convergence},

language = {eng},

number = {4},

pages = {[491]-500},

publisher = {Institute of Information Theory and Automation AS CR},

title = {Haar wavelets method for solving Pocklington's integral equation},

url = {http://eudml.org/doc/33714},

volume = {40},

year = {2004},

}

TY - JOUR

AU - Shamsi, M.

AU - Razzaghi, Mohsen

AU - Nazarzadeh, J.

AU - Shafiee, Masoud

TI - Haar wavelets method for solving Pocklington's integral equation

JO - Kybernetika

PY - 2004

PB - Institute of Information Theory and Automation AS CR

VL - 40

IS - 4

SP - [491]

EP - 500

AB - A simple and effective method based on Haar wavelets is proposed for the solution of Pocklington’s integral equation. The properties of Haar wavelets are first given. These wavelets are utilized to reduce the solution of Pocklington’s integral equation to the solution of algebraic equations. In order to save memory and computation time, we apply a threshold procedure to obtain sparse algebraic equations. Through numerical examples, performance of the present method is investigated concerning the convergence and the sparseness of resulted matrix equation.

LA - eng

KW - Pocklington integral equation; numerical solutions; Haar wavelets; Pocklington integral equation; Haar wavelets; sparse algebraic equations; numerical examples; convergence

UR - http://eudml.org/doc/33714

ER -

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