Finite difference techniques for variable grids

TL;DR: The FIDAM code as discussed by the authors is a system of computer programs designed for the solution of two-dimensional, linear and nonlinear, elliptic problems and three-dimensional parabolic problems.

TL;DR: A large number of meshfree methods have emerged into a new class of computational methods with considerable success and a significant amount of progress has been made in ad-hoc methods over the past two decades.

TL;DR: In this paper, the generalized finite difference method (GFD) is used to solve second-order partial differential equations which represent the behavior of many physical processes. And the authors analyze the influences of key parameters of the method, such as the number of nodes of the star, the arrangement of the same, the weight function and the stability parameter in time-dependent problems.

TL;DR: In this article, a procedure is given that can easily assure the quality of numerical results by obtaining the residual at each point, which can be applied over general or irregular clouds of points.

TL;DR: In this article, the authors propose Matrix Methods for Parabolic Partial Differential Equations (PPDE) and estimate of Acceleration Parameters, and derive the solution of Elliptic Difference Equations.

TL;DR: In this paper, a combination variational-difference numerical method, applied recently to a large variety of nonlinear boundary value problems, is studied from the points of view of convergence and possible generalizations.