In this paper some finite difference schemes with intrinsic parallelism for nonlinearparabolic system are constructed. For the nonlinear difference system with intrinsic parallelism, a mild restriction condition for t...In this paper some finite difference schemes with intrinsic parallelism for nonlinearparabolic system are constructed. For the nonlinear difference system with intrinsic parallelism, a mild restriction condition for the steplengths is derived.展开更多
The boundary value problem for nonlinear parabolic system is solved by the finite difference method with intrinsic parallelism. The existence of the discrete vector solution for the general finite difference schemes w...The boundary value problem for nonlinear parabolic system is solved by the finite difference method with intrinsic parallelism. The existence of the discrete vector solution for the general finite difference schemes with intrinsic parallelism is proved by the fixed-point technique in finite-dimensional Euclidean space. The convergence and stability theorems of the discrete vector solutions of the nonlinear difference system with intrinsic parallelism are proved. The limitation vector function is just the unique generalized solution of the original problem for the parabolic system.展开更多
文摘In this paper some finite difference schemes with intrinsic parallelism for nonlinearparabolic system are constructed. For the nonlinear difference system with intrinsic parallelism, a mild restriction condition for the steplengths is derived.
基金Project supported by the National Natural Science Foundation of China and the Foundation of CAEP.
文摘The boundary value problem for nonlinear parabolic system is solved by the finite difference method with intrinsic parallelism. The existence of the discrete vector solution for the general finite difference schemes with intrinsic parallelism is proved by the fixed-point technique in finite-dimensional Euclidean space. The convergence and stability theorems of the discrete vector solutions of the nonlinear difference system with intrinsic parallelism are proved. The limitation vector function is just the unique generalized solution of the original problem for the parabolic system.
