J4 ›› 2011, Vol. 46 ›› Issue (8): 13-16.
• Articles •
JIN Cheng-ri, YU Zhan-hua, QU Rong-ning
An implicit difference scheme for solving the neutral delay parabolic differential equation is presented. This scheme is unconditional stable in the sense of discrete L2norm. The local truncation error of this scheme is O(Δt2+Δx2). This scheme leads to a tridiagonal linear system to be solved at each time-step. The Crout factorization algorithm is used to solve this linear system. The numerical results show that the presented implicit difference scheme is effective.
neutral delay parabolic differential equation; implicit difference scheme; unconditional stable
JIN Cheng-ri, YU Zhan-hua, QU Rong-ning. An implicit difference scheme for solving the neutral delay parabolic differential equation[J].J4, 2011, 46(8): 13-16.
Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks