Geodesic
Haar wavelets method for solving Pocklington's integral equation
Kybernetika, Tome 40 (2004) no. 4, p. [491]

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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.
Classification : 45H05, 65R20, 65T60, 78M25
Keywords: Pocklington integral equation; numerical solutions; Haar wavelets 
@article{KYB_2004__40_4_a6,
     author = {Shamsi, M. and Razzaghi, M. and Nazarzadeh, J. and Shafiee, M.},
     title = {Haar wavelets method for solving {Pocklington's} integral equation},
     journal = {Kybernetika},
     pages = {[491]},
     publisher = {mathdoc},
     volume = {40},
     number = {4},
     year = {2004},
     mrnumber = {2102367},
     zbl = {1249.65289},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2004__40_4_a6/}
}
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Shamsi, M.; Razzaghi, M.; Nazarzadeh, J.; Shafiee, M. Haar wavelets method for solving Pocklington's integral equation. Kybernetika, Tome 40 (2004) no. 4, p. [491]. http://geodesic.mathdoc.fr/item/KYB_2004__40_4_a6/