Numerical solution of fractional Volterra integro-differential equations using flatlet oblique multiwavelets

The presented paper investigates a new numerical method based on the characteristics of flatlet oblique multiwavelets for solving fractional Volterra integro-differential equations, in this method, first using the dual bases of the flatlet multiwavelets, the operator matrices are made for the derivative of fractional order and Volterra integral. Then, the fractional Volterra integro-differential equation reduces to a set of algebraic equations which can be easily solved. The error analysis and convergence of the presented method are discussed. Also, numerical examples will indicate the acceptable accuracy of the proposed method, which is compared with the methods used by other researchers.

Keywords:

Flatlet oblique multiwavelets , Fractional Volterra integro-differential equations , Operational matrix , Collocation method , Biorthogonal system