𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Finite difference method for multipoint nonlocal elliptic–parabolic problems

✍ Scribed by Allaberen Ashyralyev; Okan Gercek

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
319 KB
Volume
60
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

A finite difference method for solving the multipoint elliptic-parabolic partial differential equation with a nonlocal boundary condition is considered. Stable difference schemes accurate to first and second orders for this problem are presented. Stability, almost coercive stability and coercive stability for the solution of these difference schemes are obtained. The theoretical statements for the solution of these difference schemes are supported by numerical examples.

📜 SIMILAR VOLUMES

Finite-difference methods for solution o
Finite-difference methods for solution of nonlocal boundary value problems
✍ N. Gordeziani; P. Natalini; P.E. Ricci 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 499 KB

The article is devoted to the construction and investigation of various types of difference schemes relevant to nonlocal boundary value problems stated for multidimensional elliptic equations. Suitable tools for performing the investigation are developed, including difference analogue of Green's for

Support-Operator Finite-Difference Algor
Support-Operator Finite-Difference Algorithms for General Elliptic Problems
✍ Mikhail Shashkov; Stanly Steinberg 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 631 KB

An algorithm is developed for discretizing boundary-value problems given by a general linear elliptic second-order partial-differential equation with general mixed or Robin boundary conditions in general logically rectangular grids. The continuum problem can be written as an operator equation where

Some numerical experiments on high accur
Some numerical experiments on high accuracy fast direct finite difference method for elliptic problems
✍ Singh, Bani ;Hassan, Saleh M. ;Lal, Jia 📂 Article 📅 1996 🏛 John Wiley and Sons 🌐 English ⚖ 439 KB 👁 2 views

A high accuracy finite difference scheme has been developed for solving some elliptic problems which appear in engineering and applied sciences. These include Laplace, Poisson, Helmholtz and related equations. The second-and fourth-order problems dealing with vibration of membranes and plates have a

Fourth-order compact finite difference m
Fourth-order compact finite difference method for fourth-order nonlinear elliptic boundary value problems
✍ Yuan-Ming Wang; Ben-Yu Guo 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 638 KB

A compact finite difference method with non-isotropic mesh is proposed for a two-dimensional fourth-order nonlinear elliptic boundary value problem. The existence and uniqueness of its solutions are investigated by the method of upper and lower solutions, without any requirement of the monotonicity