Abstract
In this paper, we discuss the time evolution of a forced KdV equation by using a standard reductive perturbation technique. Using conservation laws, we derive the time evolution a KdV equation with an external force. Further, we make use of our newly designed method of flux correction along with the predictor-corrector scheme to study the growth of field quantities with time over a spatial span. The results obtained by using our new technique agree perfectly with the findings from the standard reductive perturbation technique. Our method will find quick acceptance in dealing with nonlinear plasma phenomena. Once we set up the basic equations, we can feed them into our scheme, and the results will automatically follow. We can even check the dependence of different waveforms as the initial and the boundary conditions.
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