Numerical Techniques for Solving Linear Volterra Fractional Integral Equation

Algorithm 1

Numerical realization using the Haar wavelet method.

1: Input:• : is the interval for the solution function.• : The maximal level of resolution.• : The dilation parameter.• : The translation parameter.• : The function of the integral equation.• : The kernel function.• : The scaling function.• : Is a constant parameter.

2: Calculate:• The quantity .• • The length of each subintervals .• • The wavelet number .

3: Calculate: The collocation points .

4: Calculate: and .

5: Calculate:• The matrix .• Calculate .

6: Determine the solution of the linear system .