A linearized compact difference scheme for a class of nonlinear delay partial differential equations

作者：Sun Zhi zhong^*; Zhang Zai bin

来源：Applied Mathematical Modelling, 2013, 37(3): 742-752.

DOI：10.1016/j.apm.2012.02.036

• Delay partial differential equation
• Compact difference scheme
• Convergence
• Stability

A linearized compact difference scheme is presented for a class of nonlinear delay partial differential equations with initial and Dirichlet boundary conditions. The unique solvability, unconditional convergence and stability of the scheme are proved. The convergence order is O(tau(2) + h(4)) in L-infinity norm. Finally, a numerical example is given to support the theoretical results.

• 出版日期2013-2-1
• 单位东南大学