Two difference schemes are derived for both one-dimensional and two-dimensional
distributed-order differential equations. It is proved that the schemes are unconditionally …

The Grünwald formula is used to solve the two-dimensional distributed-order differential
equations. Two alternating direction implicit (ADI) difference schemes are derived. It is …

The Grünwald formula is used to solve the one‐dimensional distributed‐order differential
equations. Two difference schemes are derived. It is proved that the schemes are …

Two alternating direction implicit difference schemes are established for solving a class of
two-dimensional time distributed-order wave equations. The schemes are proved to be …

A fully discrete difference scheme is derived for a diffusion-wave system by introducing two
new variables to transform the original equation into a low order system of equations. The …

Two alternating direction implicit difference schemes are derived for two-dimensional
distributed-order fractional diffusion equations. It is proved that the schemes are …

For an ordinary second-order differential equation in which the coefficient of the highest
derivative is a small parameter, the classical difference scheme which uses a central …

A high-order nonlinear conservative difference scheme method is proposed to solve a
model of nonlinear dispersive equation: RLW-KdV equation. The existence of the solution …

u,= lA(u) Page 1 SIAM J. NUMER. ANAL. Vol. 9, No. December 1972 STRANG-TYPE
DIFFERENCE SCHEMES FOR MULTIDIMENSIONAL PROBLEMS* DAVID GOTTLIEB? Abstract …

FOR second-order differenti~ equations of a special form, with a small parameter c~ f~ cient
of the highest-order derivative, a monotonic difference scheme of second-order accuracy is …