IJPAM: Volume 107, No. 1 (2016)
EQUATION OF THE SECOND KIND BY BAND-LIMITED
Department of Mathematics & Statistics
Indian Institute of Technology Kanpur
Kanpur, 208016, INDIA
Abstract. Fredholm integral equation of the second kind appears naturally in different areas of mathematics, physics and engineering. In this paper we consider Fredholm integral equation of the second kind with convolution type kernel. We assume in the approximation space and prove the existence and uniqueness of approximate solution by band-limited scaling function. Since these functions are infinitely differentiable and possess decay property, methods based on these functions would be very accurate. Convergence analysis has been discussed to validate our approximate solution.
Received: January 16, 2016
AMS Subject Classification: 41B05, 45L05, 65G99
Key Words and Phrases: scaling function, orthonormal wavelet, band-limited wavelet, approximation space, Fredholm integral equation of the second kind, convolution
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DOI: 10.12732/ijpam.v107i1.3 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 23 - 34