A Crank-Nicolson Difference Scheme for Solving a Type of Variable Coefficient Delay Partial Differential Equations

الملخص EN

A linearized Crank-Nicolson difference scheme is constructed to solve a type of variable coefficient delay partial differential equations.

The difference scheme is proved to be unconditionally stable and convergent, where the convergence order is two in both space and time.

A numerical test is provided to illustrate the theoretical results.