Interpolating Scaling Functions Tau Method for Solving Space–Time Fractional Partial Differential Equations

This paper is devoted to an innovative and efficient technique for solving space–time fractional differential equations (STFPDEs). To this end, we apply the Tau method such that bases used are interpolating scaling functions (ISFs). The operational metrics derivative operator integration introduce matrix Caputo derivative. Due some characteristics of ISFs, as interpolation, computation costs can be significantly reduced. We investigate convergence technique, numerical implementations show effective equations.