In this work we propose a fourth-order compact method for solving the one-dimensional nonlinear Klein-Gordon equation. We apply a compact finite difference approximation of fourth-order forâ€¦ (More)

In thisworkwe propose a high-order and accuratemethod for solving the one-dimensional nonlinear sineâ€“Gordon equation. The proposed method is based on applying a compact finite difference scheme andâ€¦ (More)

In this paper, a compact finite difference method is proposed for the solution of time fractional advection-dispersion equation which appears extensively in fluid dynamics. In this approach the timeâ€¦ (More)

In this paper, we propose two compact finite difference approximations for three-dimensional biharmonic equation with Dirichlet boundary conditions of second kind. In these methods there is no needâ€¦ (More)