SAMS Subject Classification Number: 23

In this study, we compare the multidomain spectral quailinearization and spectral block hybrid methods for solving nonlinear evolution parabolic equations. Similar intervals and grid points are used for discretization in both methods. For comparison purpose, we solve the Burgers-Fisher equation and other nonlinear evolution parabolic equations. To verify the approaches’ precision, convergence and effectiveness, the results are compared with well-known analytical solutions. The results are discussed in a form of tables and graphs to show the accuracy, convergence and effectiveness of the methods. We found that there is a high degree of accuracy between the two methods.