Numerical scheme for rosenau-kdv equation using finite element method

Abstract

In this work, numerical solutions for the Rosenau-KdV equation are studied by using finite element method. For temporal discretization, Crank-Nicolson and forward difference approach are used. Numerical results are obtained for five test problems. In order to apply the stability analysis, Rosenau-KdV equation is linearized by assuming that the quantity 𝑈����� in the non-linear term 𝑈�����𝑈�����𝑥����� is locally constant. The results show that the present method is efficient and reliable