Numerical solution of linear integro-differential equation by using sine–cosine wavelets

We use the continuous sine–cosine wavelets on the interval [0, 1] to solve the linear integro-differential equation. To do so, we construct the quadrature formulae for the calculation of inner products of any functions, which are required in the approximation for the integro-differential equation. Then, we reduced the integro-differential equation to the solution of linear algebraic equations.