On a Partial Differential Equation with Piecewise Constant Mixed Arguments

Highly accurate difference schemes for time‐nonlocal Schrodinger type problems

“…n be sufficiently small numbers and condition (19) be satisfied. Then for the solutions of DSs (50) and (51) the stability inequalities…”

“…Several problems in physics and applied sciences contribute with local and nonlocal boundary value problems (BVPs) to Schrodinger equations (SEs). Analytic and approximate solutions of local and nonlocal BVPs for SEs have been investigated by many researchers (see, e.g., [1][2][3][4][5][6][7][8][9][10][11][12][13], [15][16][17][18][19][20] and the references given therein). Note that on published papers researchers have been focused on the first and second-order absolute stable difference schemes (DSs) for the numerical solution of nonlocal BVPs for SEs.…”