Novel and accurate Gegenbauer spectral tau algorithms for distributed order nonlinear time-fractional telegraph models in multi-dimensions (Q2684153)

This article is concerned with numerical approximations to the multi-dimensional distributed-order nonlinear time-fractional telegraph equations models. The approach relies on the use of shifted Gegenbauer polynomials. The proposed method takes full advantage of the nonlocal nature of distributed order fractional differential operators. Error estimations are obtained. Also, several numerical experiments are included to support the utility of the proposed algorithm.