A residual power series technique for solving Boussinesq-Burgers equations. (English) Zbl 1438.35363

Summary: In this paper, a residual power series method (RPSM) is combining Taylor’s formula series with residual error function, and is investigated to find a novel analytical solution of the coupled strong system nonlinear Boussinesq-Burgers equations according to the time. Analytical solution was purposed to find approximate solutions by RPSM and compared with the exact solutions and approximate solutions obtained by the homotopy perturbation method and optimal homotopy asymptotic method at different time and concluded that the present results are more accurate and efficient than analytical methods studied. Then, analytical simulations of the results are studied graphically through representations for action of time and accuracy of method.


35Q53 KdV equations (Korteweg-de Vries equations)
35C10 Series solutions to PDEs
76B15 Water waves, gravity waves; dispersion and scattering, nonlinear interaction
94A20 Sampling theory in information and communication theory
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