.png){kind=icon}
返回
Closed form numerical solutions of variable coefficient linear second-order elliptic problems
.png){kind=icon}
OA
AI
DOI：10.1016/j.amc.2014.04.025.png)
.png){kind=icon}
.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
In this work we develop an alternative numerical technique which allows to construct a numerical solution in closed form of variable coefficient linear second-order elliptic problems with Dirichlet boundary conditions. The elliptic partial differential equation is approximated by a consistent explicit difference scheme and using a discrete separation of the variables method we determine a closed form solution of the two resulting discrete boundary value problems with the separated variables, avoiding to have to solve large algebraic systems. One of these boundary value problems is a discrete Sturm-Liouville problem which guarantees the qualitative properties of the exact solution of elliptic problem. A constructive procedure for the computation of the numerical solution is given and an illustrative example is included. (c) 2014 Elsevier Inc. All rights reserved.
Keyword:
Variable coefficient linear elliptic problems
Closed form numerical solutions
Explicit difference scheme
Discrete variable separated method
Discrete Sturm-Liouville problems
Consistency
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
3.4
论文数:
2.3W
被引数:
3.3W
机构
引用论文
A Cartesian grid finite volume method for elliptic equations with variable coefficients and embedded interfaces变系数椭圆方程嵌入界面的笛卡尔网格有限体积法
.png){kind=icon}
PREAI
分享收藏分享收藏High-order finite difference schemes for elliptic problems with intersecting interfaces具有相交界面的椭圆问题的高阶有限差分格式
PREAI
分享收藏A discrete eigenfunctions method for computing mixed hyperbolic problems based on an implicit difference scheme基于隐式差分格式的离散特征函数方法，用于计算混合双曲问题
PREAI
分享收藏Convergence of the compact finite difference method for second-order elliptic equations二阶椭圆型方程紧致有限差分方法的收敛性
PREAI
分享收藏 没有更多内容
没有更多内容