Geodesic
Numerical Solution of Linear Volterra Integral Equations Using Non-Uniform Haar Wavelets
Kragujevac Journal of Mathematics, Tome 47 (2023) no. 4, p. 599 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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In this paper, we presented a numerical method for solving linear Volterra integral equations (LVIE) which is based on the non-uniform Haar wavelets. By applying this method, the LVIE is reduced to a linear system of algebraic equations which can be solved by direct method. The min advantage of using non-uniform Haar wavelets is that the time of calculation can be adjusted arbitrarily. Also, we presented the error analysis of the proposed method. Furthermore, two examples are included for the demonstrating the convenient capabilities of the new method.
Classification : 65T60 45D05, 45L05, 65L60, 65R20, 41A30
Keywords: non-uniform Haar wavelets, Volterra integral equations, grid points, function approximation 
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     author = {Meisam Montazer and Reza Ezzati and Mohsen Fallahpour},
     title = {Numerical {Solution} of {Linear} {Volterra} {Integral} {Equations} {Using} {Non-Uniform} {Haar} {Wavelets}},
     journal = {Kragujevac Journal of Mathematics},
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     year = {2023},
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     number = {4},
     language = {en},
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Meisam Montazer; Reza Ezzati; Mohsen Fallahpour. Numerical Solution of Linear Volterra Integral Equations Using Non-Uniform Haar Wavelets. Kragujevac Journal of Mathematics, Tome 47 (2023) no. 4, p. 599 . http://geodesic.mathdoc.fr/item/KJM_2023_47_4_a8/