Exponential Spline Method for One Dimensional Nonlinear Benjamin-Bona-Mahony-Burgers Equation
In this paper, a numerical method based on exponential spline for solving one dimensional nonlinear Benjamin-Bona-Mahony-Burgers equation is presented. Stability analysis of the present method is analyzed by means of Von Neumann stability analysis and is proven to be unconditionally stable. Few numerical evidences are given to prove the validation of the proposed method.
KeywordsBenjamin-Bona-Mahony-Burgers equation Exponential spline Von Neumann technique