This article is devoted to the study of high order accuracy difference methods tor the Cahn-rnmara equation. A three level linearized compact difference scheme is derived. The u^ique solvability and uaconditional conv...This article is devoted to the study of high order accuracy difference methods tor the Cahn-rnmara equation. A three level linearized compact difference scheme is derived. The u^ique solvability and uaconditional convergence of the difference solution are proved. The convergence order is O（T2＋h4） in the maximum norm. The mass conservation and the non-increase of the total energy are also verified. Some numerical examples are given to demonstrate the theoretical results.展开更多
In this paper, a finite difference method for a initial-boundary value problem of regularized long-wave equation was considered. A energy conservative finite difference scheme of three levels was proposed. Convergence...In this paper, a finite difference method for a initial-boundary value problem of regularized long-wave equation was considered. A energy conservative finite difference scheme of three levels was proposed. Convergence and stability of difference solution were proved. The scheme needn’t iterate, thus, requires less CPU time. Numerical experiment results demonstrate that the method is efficient and reliable.展开更多
基金supported by Natural Science Foundation of China (Grant No. 10871044)
文摘This article is devoted to the study of high order accuracy difference methods tor the Cahn-rnmara equation. A three level linearized compact difference scheme is derived. The u^ique solvability and uaconditional convergence of the difference solution are proved. The convergence order is O（T2＋h4） in the maximum norm. The mass conservation and the non-increase of the total energy are also verified. Some numerical examples are given to demonstrate the theoretical results.
文摘In this paper, a finite difference method for a initial-boundary value problem of regularized long-wave equation was considered. A energy conservative finite difference scheme of three levels was proposed. Convergence and stability of difference solution were proved. The scheme needn’t iterate, thus, requires less CPU time. Numerical experiment results demonstrate that the method is efficient and reliable.
