Numerical solution of nth-order integro-differential equations using trigonometric wavelets

作者：Lakestani Mehrdad; Jokar Mahmood; Dehghan Mehdi^*

来源：Mathematical Methods in the Applied Sciences, 2011, 34(11): 1317-1329.

DOI：10.1002/mma.1439

• integro-differential equations
• trigonometric wavelets
• Hermite interpolation
• operational matrix of derivative

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.

• 出版日期2011-7-30