Numerical Study of the Inverse Problem of Generalized Burgers–Fisher and Generalized Burgers–Huxley Equations

In this paper, the boundary value inverse problem related to generalized Burgers–Fisher and Burgers–Huxley equations is solved numerically based on a spline approximation tool. B-splines with quasilinearization Tikhonov regularization methods are used obtain new numerical solutions problem. First, method linearize equation in specific time step. Then, linear combination of approximate largest order derivatives equation. By integrating from combination, some approximations have been obtained for each functions respect space. The additional conditions also applied these approximations. solve system using noisy data. Several examples provided illustrate accuracy efficiency method.