Abstract
This study aims to solve Boussinesq–Burgers equations mathematically, using the Laplace residual power series (LRPS) chain approach. By combining the series of Taylor equations with the Laplace residual error function, the LRPS method was investigated to obtain a unique analytical solution to the powerful nonlinear system of Boussinesq-Burgers equations according to time. At different times, the approximate solutions obtained by the homozygous perturbation technique and the ideal iterative technique for homozygosity were especially compared with the present results, concluding that this method is more accurate and reliable than the analytical techniques examined by the numerical results, which shows us the accuracy of the results obtained. Finally, the illustrative simulation results were checked graphically using a time procedure and method validity representations.
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