%0 Journal Article
%T Unconditionally Stable Difference Scheme for the Numerical Solution of Nonlinear Rosenau-KdV Equation
%J Mathematics Interdisciplinary Research
%I University of Kashan
%Z 2538-3639
%A Mohebbi, Akbar
%A Faraz, Zahra
%D 2016
%\ 07/01/2016
%V 1
%N 2
%P 291-304
%! Unconditionally Stable Difference Scheme for the Numerical Solution of Nonlinear Rosenau-KdV Equation
%K Finite difference scheme
%K solvability
%K unconditional stability
%K Convergence
%R 10.22052/mir.2016.15512
%X 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.
%U https://mir.kashanu.ac.ir/article_15512_124ceee6f307b4edb7a77d6025a2e5e1.pdf