@Article{EAJAM-2-1,
author = {},
title = {A New Fourth-Order Compact Off-Step Discretization for the System of 2D Nonlinear Elliptic Partial Differential Equations},
journal = {East Asian Journal on Applied Mathematics},
year = {2012},
volume = {2},
number = {1},
pages = {59--82},
abstract = {<p style="text-align: justify;">This paper discusses a new fourth-order compact off-step discretization for
the solution of a system of two-dimensional nonlinear elliptic partial differential equations
subject to Dirichlet boundary conditions. New methods to obtain the fourth-order
accurate numerical solution of the first order normal derivatives of the solution are also
derived. In all cases, we use only nine grid points to compute the solution. The proposed
methods are directly applicable to singular problems and problems in polar coordinates,
which is a main attraction. The convergence analysis of the derived method is discussed
in detail. Several physical problems are solved to demonstrate the usefulness of the proposed
methods.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.291211.080212a},
url = {https://global-sci.com/article/82838/a-new-fourth-order-compact-off-step-discretization-for-the-system-of-2d-nonlinear-elliptic-partial-differential-equations}
}