An AN EFFICIENT NUMERICAL SIMULATION TECHNIQUE FOR A SYSTEM OF 1D BURGERS EQUATIONS
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Abstract
The present paper aims to study the behavior of one-dimensional system of the famous non-linear convective–diffusive partial differential equations known as Burgers equations that occur in various fields of physics and applied mathematics. In this paper, efficient numerical experiments are being performed
to study the behavior of one-dimensional Burgers equations with discontinuous and non-differentiable initial conditions. A system of three Burgers equations is solved using a modified cubic B-spline collocation method and the results are compared with single and coupled Burgers equations. It is observed that the diffusion term significantly smoothens the solutions. The numerical results are illustrated through two- and three-dimensional graphical representations.
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