A Shifted Jacobi-Gauss Collocation Scheme for Solving Fractional Neutral Functional-Differential Equations

Abstract EN

The shifted Jacobi-Gauss collocation (SJGC) scheme is proposed and implemented to solve the fractional neutral functional-differential equations with proportional delays.

The technique we have proposed is based upon shifted Jacobi polynomials with the Gauss quadrature integration technique.

The main advantage of the shifted Jacobi-Gauss scheme is to reduce solving the generalized fractional neutral functional-differential equations to a system of algebraic equations in the unknown expansion.

Reasonable numerical results are achieved by choosing few shifted Jacobi-Gauss collocation nodes.

Numerical results demonstrate the accuracy, and versatility of the proposed algorithm.