An Effective Numerical Algorithm Based on Stable Recovery for Partial Differential Equations With Distributed Delay

Linearized compact difference schemes applied to nonlinear variable coefficient parabolic equations with distributed delay

“…For example, aimed at the numerical research of ordinary differential equations with distributed delay, many significant advances have been made, such as collocation methods, Runge-Kutta methods, linear multistep methods, one-leg methods, spectral methods and block boundary value methods (see e.g., [2,4,[22][23][24]30]). For solving numerically partial differential equations with distributed delay, He et al [8] studied one-dimensional semi-linear parabolic problems by using the linearized compact scheme. Subsequently, Qin et al [13] further applied the linearized compact scheme to solve two and three-dimensional semi-linear parabolic problems with distributed delay.…”