  This manuscript studies the numerical solution of the time-fractional
Burgers-Huxley equation in a reproducing kernel Hilbert space. The analytical
solution of the equation is obtained in terms of a convergent series with
easily computable components. It is observed that the approximate solution
uniformly converges to the exact solution for the aforementioned equation.
Also, the convergence of the proposed method is investigated. Numerical
examples are given to demonstrate the validity and applicability of the
presented method. The numerical results indicate that the proposed method is
powerful and effective with a small computational overhead.
