Numerical analysis of integro-differential equations of high order by trigonometric wavelet

In this work, a novel algorithm based on trigonometric wavelets is presented for solving the higher order Fredholm integro-differential equations. This scheme uses a suitablewavelet Galerkin method to reduce the solution of the Fredholm integro-differential equations to the solution of an algebraic equations. Moreover, the convergence analysis of this scheme is described. Finally, an example is presented to show the capability and efficiency of the given algorithm.

Keywords:

Fredholm integro-differential equation , Wavelet Galerkin method , Wavelets basis