Approximate solution of integral equations and convolution integrals using Legendre polynomials |
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| Authors: | M. A. Bokhari M. Anwar Chaudhry Asghar Qadir |
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| Affiliation: | (1) Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, 31261 Dhahran, Saudi Arabia;(2) Present address: Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan;(3) Present address: Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan |
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| Abstract: | It has been argued that Chebyshev polynomials are ideal to use as approximating functions to obtain solutions of integral equations and convolution integrals on account of their fast convergence. Using the standard deviation as a measure of the accuracy of the approximation and the CPU time as a measure of the speed, we find that for reasonable accuracy Legendre polynomials are more efficient. |
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