Solution of integral equations by generalized Wavelet transform
DOI:
https://doi.org/10.5269/bspm.v33i2.22428Palabras clave:
Wavelet transform, distribution spaces, Volterra integral equation, Fredlom integral equation of convolution type, convolutionResumen
Wavelet transform and distributional wavelet transform are used to obtain the solution of few integral equations in this paper.Referencias
1. P. K. Banerji and Deshna Loonker, Distributional Integral Transforms, Scientific Publishers, India, (2005).
2. C. K. Chui, An Introduction of Wavelets, Academic Press, (1992).
3. L. Debnath and D. Bhatta, Integral Transform and their Applications, Chapman and Hall/CRC, Boca Raton, London, New York , (2007).
4. L. Debnath Wavelet Transforms and their applications, Birkhäuser, Boston, Basel, (2002).
5. I. Daubechies, Ten Lectures on Wavelets, SIAM, Philadelphia, Pennsylvania, USA, (1992).
6. R. Estrada and R. P. Kanwal, Singular Integral Equations, Birkhäuser, Boston, Basel, (2000).
7. T. H. Koorwinder (ed.) Wavelets : An Elementary Treatment of Theory and Applications, World Scientific, (1993).
8. U. Lepik, Application of the Haar wavelet transform to solving integral and differential equations, Proc. Estonian Acad. Sci. Phys. Math. 56 (1), (2007), 28-46.
9. Deshna Loonker and P. K. Banerji, On the solution of distributional Abel integral equation by distributional Sumudu transform, Internat. J. Math. Math. Sci. , 2011 (2011), 1-8, Article ID 480528.
10. Deshna Loonker and P. K. Banerji, Natural transform and solution of integral equations for distribution spaces, American Journal of Mathematics and Sciences, 3 (1), (2014), 65- 72.
11. Deshna Loonker and P. K. Banerji, On the distributional Abel integral equation for distributional Elzaki transform, J. Indian Math. Soc., 81 (1-2) (2014), 87 -96.
12. K. Maleknejad and T. Lotfi, Using wavelet for Numerical solution of Fredlom Integral Equations, Proceedings of the World Congress on Engineering, II (2007), 1-4.
13. K. Maleknejad, H. Messgarani and T. Nizad, Wavelet - Galerkn solution for integral equations of second kind, Int. J. Eng. Sci., 13 (5) (2002), 75- 80.
14. R. S. Pathak, Integral Transforms of Generalized Functions and their Applications, Gordon and Breach, Amsterdan, (1997).
15. R. S. Pathak, The Wavelet Transform, Atlantis Press, Amsterdam, Paris, (2009).
2. C. K. Chui, An Introduction of Wavelets, Academic Press, (1992).
3. L. Debnath and D. Bhatta, Integral Transform and their Applications, Chapman and Hall/CRC, Boca Raton, London, New York , (2007).
4. L. Debnath Wavelet Transforms and their applications, Birkhäuser, Boston, Basel, (2002).
5. I. Daubechies, Ten Lectures on Wavelets, SIAM, Philadelphia, Pennsylvania, USA, (1992).
6. R. Estrada and R. P. Kanwal, Singular Integral Equations, Birkhäuser, Boston, Basel, (2000).
7. T. H. Koorwinder (ed.) Wavelets : An Elementary Treatment of Theory and Applications, World Scientific, (1993).
8. U. Lepik, Application of the Haar wavelet transform to solving integral and differential equations, Proc. Estonian Acad. Sci. Phys. Math. 56 (1), (2007), 28-46.
9. Deshna Loonker and P. K. Banerji, On the solution of distributional Abel integral equation by distributional Sumudu transform, Internat. J. Math. Math. Sci. , 2011 (2011), 1-8, Article ID 480528.
10. Deshna Loonker and P. K. Banerji, Natural transform and solution of integral equations for distribution spaces, American Journal of Mathematics and Sciences, 3 (1), (2014), 65- 72.
11. Deshna Loonker and P. K. Banerji, On the distributional Abel integral equation for distributional Elzaki transform, J. Indian Math. Soc., 81 (1-2) (2014), 87 -96.
12. K. Maleknejad and T. Lotfi, Using wavelet for Numerical solution of Fredlom Integral Equations, Proceedings of the World Congress on Engineering, II (2007), 1-4.
13. K. Maleknejad, H. Messgarani and T. Nizad, Wavelet - Galerkn solution for integral equations of second kind, Int. J. Eng. Sci., 13 (5) (2002), 75- 80.
14. R. S. Pathak, Integral Transforms of Generalized Functions and their Applications, Gordon and Breach, Amsterdan, (1997).
15. R. S. Pathak, The Wavelet Transform, Atlantis Press, Amsterdam, Paris, (2009).
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2014-08-10
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