Finite integration method for partial differential equations

P.H. Wen; Y.C. Hon; M. Li; T. Korakianitis

首页> 外文期刊>Applied Mathematical Modelling >Finite integration method for partial differential equations

【24h】

Finite integration method for partial differential equations

机译：偏微分方程的有限积分方法

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

A finite integration method is proposed in this paper to deal with partial differential equations in which the finite integration matrices of the first order are constructed by using both standard integral algorithm and radial basis functions interpolation respectively. These matrices of first order can directly be used to obtain finite integration matrices of higher order. Combining with the Laplace transform technique, the finite integration method is extended to solve time dependent partial differential equations. The accuracy of both the finite integration method and finite difference method are demonstrated with several examples. It has been observed that the finite integration method using either radial basis function or simple linear approximation gives a much higher degree of accuracy than the traditional finite difference method.

机译：本文提出了一种有限积分方法来处理偏微分方程，其中分别使用标准积分算法和径向基函数插值来构造一阶有限积分矩阵。这些一阶矩阵可以直接用于获得更高阶的有限积分矩阵。结合拉普拉斯变换技术，扩展了有限积分方法，以求解时间相关的偏微分方程。通过几个例子证明了有限积分法和有限差分法的准确性。已经观察到，使用径向基函数或简单线性逼近的有限积分方法比传统的有限差分方法具有更高的精度。

著录项

来源
《Applied Mathematical Modelling》 |2013年第24期|10092-10106|共15页
作者
P.H. Wen; Y.C. Hon; M. Li; T. Korakianitis;
展开▼
作者单位

School of Engineering and Materials Science, Queen Mary, University of London, London E1 4NS, UK;

Department of Mathematics, City University of Hong Kong, Hong Kong Special Administrative Region,College of Mathematics, Taiyuan University of Technology, Taiyuan, China;

College of Mathematics, Taiyuan University of Technology, Taiyuan, China;

Parks College of Engineering, Aviation and Technology, Saint Louis University, St. Louis, MO 63103, USA;

展开▼
收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
Finite integral method; Radial basis functions; Partial differential equation; Partial differential equation with fractional; order; Elasto-dynamics; Laplace transformation;

机译：有限积分法径向基函数;偏微分方程;分数阶偏微分方程;订购;弹性动力学;拉普拉斯变换;

相似文献

外文文献
中文文献
专利

1. A comparison of the String Gradient Weighted Moving Finite Element method and a Parabolic Moving Mesh Partial Differential Equation method for solutions of partial differential equations [J] . Wacher A. Central European Journal of Mathematics . 2013,第4期

机译：弦梯度加权移动有限元法与抛物线移动网格偏微分方程法求解偏微分方程的比较
2. Generalized finite integration method for solving multi-dimensional partial differential equations [J] . Sam C. N., Hon Y. C. Engineering analysis with boundary elements . 2019,第FEBa期

机译：求解多维偏微分方程的广义有限积分方法
3. Generalized finite integration method for solving multi-dimensional partial differential equations [J] . Sam C. N., Hon Y. C. Engineering analysis with boundary elements . 2019,第Feba期

机译：求解多维局部微分方程的广义有限积分方法
4. Kernel-Based Collocation Methods Versus Galerkin Finite Element Methods for Approximating Elliptic Stochastic Partial Differential Equations [C] . Gregory E. Fasshauer, Qi Ye International workshop on meshfree methods for partial differential equations . 2013

机译：基于核的搭配方法与Galerkin有限元方法近似的椭圆形随机偏微分方程
5. Adaptive discontinuous Galerkin finite element methods for second and fourth order elliptic partial differential equations. [D] . Saum, Michael A. 2006

机译：二阶和四阶椭圆型偏微分方程的自适应不连续Galerkin有限元方法。
6. High accuracy finite difference approximation to solutions of elliptic partial differential equations [O] . Robert E. Lynch, John R. Rice 1978

机译：椭圆型偏微分方程解的高精度有限差分近似
7. A comparison of the String Gradient Weighted Moving Finite Element method and a Parabolic Moving Mesh Partial Differential Equation method for solutions of partial differential equations [O] . Abigail Wacher 2013

机译：串梯度加权移动有限元方法与偏微分方程解的抛物线移动网状偏微分方程的比较

Finite integration method for partial differential equations

摘要

著录项

相似文献

相关主题

期刊订阅