(17) In the paper titled "A Compact Difference Scheme for Solving Fractional Neutral Parabolic Differential Equation
with Proportional Delay," a linearized compact finite difference scheme was constructed for solving the fractional neutral parabolic differential equation
with proportional delay.
Some oscillation results are also given for the delay parabolic differential equation
Jones, "Determination of a coefficient in a parabolic differential equation
In this paper, we consider the following fractional neutral parabolic differential equation
with proportional delay:
Liu, "Inverse coefficient problems for nonlinear parabolic differential equations
," Acta Mathematica Sinica, vol.
Tian, "Asymptotic stability analysis of the linear [theta]-Method for linear parabolic differential equations
with delay," Journal of Difference Equations and Applications, vol.
Lin, "Determination of a parameter p(t) in some quasi-linear parabolic differential equations
," Inverse Problems, vol.
We notice that in all later published papers the theory of the finite difference method for the parabolic differential equations
with various types of nonlocal conditions was created as fully-implicit or explicit schemes theory.
Zhang, "A compact difference scheme combined with extrapolation techniques for solving a class of neutral delay parabolic differential equations
," Applied Mathematics Letters, vol.
Sun, "A Crank-Nicolson scheme for a class of delay nonlinear parabolic differential equations
," Journal on Numerical Methods and Computer Applications, vol.
Simultaneous space-time adaptive wavelet solution of nonlinear parabolic differential equations
On nonexistence of global solutions of some semilinear parabolic differential equations
. Proceedings of the Japan Academy, 49(7):503-505, 1973.