Unconditionally Stable Difference Scheme for the Numerical Solution of Nonlinear Rosenau-KdV Equation
نویسندگان
1 Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, I. R. Iran
2 Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Kashan, Kashan, I. R. Iran
doi
10.22052/mir.2016.15512چکیده
In this paper we investigate a nonlinear evolution model described by the Rosenau-KdV equation. We propose a three-level average implicit finite difference scheme for its numerical solutions and prove that this scheme is stable and convergent in the order of O(τ2 + h2). Furthermore we show the existence and uniqueness of numerical solutions. Comparing the numerical results with other methods in the literature show the efficiency and high accuracy of the proposed method.
