Forward Difference Approximations The forward difference derivative approximations consume less computer time, but they are usually not as precise as approximations that use central difference ...

We show that there exists a unique difference solution which is unconditionally stable. Using the notion of viscosity solutions, we also prove that the finite difference solution converges uniformly ...

YUMIN LIN, XIANJUAN LI, CHUANJU XU, FINITE DIFFERENCE/SPECTRAL APPROXIMATIONS FOR THE FRACTIONAL CABLE EQUATION, Mathematics of Computation, Vol. 80, No. 275 (JULY 2011), pp. 1369-1396 ...