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This manuscript studies the numerical solution of the time-fractionalBurgers-Huxley equation in a reproducing kernel Hilbert space. The analyticalsolution of the equation is obtained in terms of a convergent series witheasily computable components. It is observed that the approximate solutionuniformly converges to the exact solution for the aforementioned equation.Also, the convergence of the proposed method is investigated. Numericalexamples are given to demonstrate the validity and applicability of thepresented method. The numerical results indicate that the proposed method ispowerful and effective with a small computational overhead.

New analytical solution for time fractional Burgers-Huxley equation describing the interaction between reaction mechanisms and diffusion transport