Solution of a linear differential equation of the stretched type via Laguerre functions |
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| Institution: | 1. LApEH, Université Saad Dahleb, Blida, Algeria;2. Mechanical Engineering Department, El-Mergib University, Libya;3. LEMTA, UMR 7563 (CNRS), 2, avenue de la forêt de Haye, BP 160, 54504 Vandoeuvre Cedex, France;4. Department of Mechanical Engineering, Faculty of Engineering, University of Hail, PO Box 2440 Hail, Saudi Arabia;1. Institute of Hydraulics and Rural Water Management, University of Natural Resources and Life Sciences (BOKU), Muthgasse 18, 1190 Vienna, Austria;2. Austrian Agency for Health and Food Safety (AGES), Vienna, Austria;3. Institute for Soil Science, Leibniz University of Hannover, Hannover, Germany |
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| Abstract: | A method of using Laguerre functions is presented to obtain approximate solutions of a linear differential equation of the stretched type. The solution is essentially based on the development of two new operational matrices to manipulate, respectively, the differentiation and the stretch via Laguerre functions. It is shown that the proposed method is convenient for computer programming and appears comparable to the accuracy of other methods. Two examples are given for illustration. |
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