A numerical simulation for a model of wood drying process is considered. The model is given by a couple of nonlinear differential equations. One is a nonlinear parabolic equation and the other one is a nonlinear ordin...A numerical simulation for a model of wood drying process is considered. The model is given by a couple of nonlinear differential equations. One is a nonlinear parabolic equation and the other one is a nonlinear ordinary equation. A difference scheme is derived by the method of reduction of order. First, a new variable is introduced and the original problem is rewritten into a system of the first-order differential equations. Secondly, a difference scheme is constructed for the later problem. The solvability, stability and convergence of the difference scheme are proved by the energy method. The convergence order of the difference scheme is secondorder both in time and in space. A prior error estimate is put forward. The new variable is put aside to reduce the computational cost. A numerical example testifies the theoretical result.展开更多
This paper is the sister piece of reference[2].In this paper,we gener alize the method of the reduction of order,construct and apply the method of 2-3 resolution.We develop the method by which we determine the spannin...This paper is the sister piece of reference[2].In this paper,we gener alize the method of the reduction of order,construct and apply the method of 2-3 resolution.We develop the method by which we determine the spanning matrix of decomposable element in V^((5)) under each five different cases.展开更多
基金The National Natural Science Foundation of China (No10471023)
文摘A numerical simulation for a model of wood drying process is considered. The model is given by a couple of nonlinear differential equations. One is a nonlinear parabolic equation and the other one is a nonlinear ordinary equation. A difference scheme is derived by the method of reduction of order. First, a new variable is introduced and the original problem is rewritten into a system of the first-order differential equations. Secondly, a difference scheme is constructed for the later problem. The solvability, stability and convergence of the difference scheme are proved by the energy method. The convergence order of the difference scheme is secondorder both in time and in space. A prior error estimate is put forward. The new variable is put aside to reduce the computational cost. A numerical example testifies the theoretical result.
基金Supported by the National Natural Science Foundation of China (11971222)。
文摘This paper is the sister piece of reference[2].In this paper,we gener alize the method of the reduction of order,construct and apply the method of 2-3 resolution.We develop the method by which we determine the spanning matrix of decomposable element in V^((5)) under each five different cases.
