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Numerical solution of nth‐order integro‐differential equations using trigonometric wavelets |
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| Authors: | Mehrdad Lakestani Mahmood Jokar Mehdi Dehghan |
| Institution: | 1. Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran;2. Research Center For Industrial Mathematics, University of Tabriz, Tabriz, Iran;3. Department of Applied Mathematics, Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology, Tehran, Iran |
| Abstract: | The main aim of this paper is to apply the trigonometric wavelets for the solution of the Fredholm integro‐differential equations of nth‐order. The operational matrices of derivative for trigonometric scaling functions and wavelets are presented and are utilized to reduce the solution of the Fredholm integro‐differential equations to the solution of algebraic equations. Furthermore, we get an estimation of error bound for this method. Copyright © 2011 John Wiley & Sons, Ltd. |
| Keywords: | integro‐differential equations trigonometric wavelets Hermite interpolation operational matrix of derivative |