TY - JOUR
AU - Mohanty, Ranjan
AB - In this paper, the use of N-AGE and Newton-N-AGE iterative methods on a variable mesh for the solution of one dimensional parabolic initial boundary value problems is considered. Using three spatial grid points, a two level implicit formula based on Numerov type discretization is discussed. The local truncation error of the method is of 
$O({k^2h_l^{-1} +kh_l +h_l^3})$
, where h

l
 > 0 and k > 0 are the step lengths in space and time directions, respectively. We use a special technique to handle singular parabolic equations. The advantage of using these algorithms is highlighted computationally.
TI - On the use of AGE algorithm with a high accuracy Numerov type variable mesh discretization for 1D non-linear parabolic equations
JF - Numerical Algorithms
DO - 10.1007/s11075-009-9341-9
DA - 2009-10-13
UR - https://www.deepdyve.com/lp/springer-journals/on-the-use-of-age-algorithm-with-a-high-accuracy-numerov-type-variable-IrA0ISNycT
SP - 379
EP - 393
VL - 54
IS - 3
DP - DeepDyve
ER -