Application of the multiquadric method for numerical solution of elliptic partial differential equations

被引：122

作者：

Sharan, M

Kansa, EJ

Gupta, S

机构：

[1] LAWRENCE LIVERMORE NATL LAB, ENVIRONM SCI PROGRAM DIRECTORATE, LIVERMORE, CA 94551 USA

[2] GOVT GIRLS SENIOR SECONDARY SCH 1, NEW DELHI, INDIA

来源：

APPLIED MATHEMATICS AND COMPUTATION | 1997年 / 84卷 / 2-3期

关键词：

D O I：

10.1016/S0096-3003(96)00109-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We have used the multiquadric (MQ) approximation scheme for the solution of elliptic partial differential equations with Dirichlet and/or Neumann boundary conditions. The scheme has the advantage of using the data points in arbitrary locations with an arbitrary ordering. Two-dimensional Laplace, Poisson, and biharmonic equations describing the various physical processes have been taken as the test examples. The agreement is found to be very good between the computed and exact solutions. The method also provides an excellent approximation with a curved boundary. (C) Elsevier Science Inc., 1997.

引用

页码：275 / 302

页数：28

共 36 条

[1]

[Anonymous], ADV COMPUT MATH

[2] THE ASYMPTOTIC CARDINAL FUNCTION OF THE MULTIQUADRATIC PHI(R)=(R2+C2)1/2 AS C-]INFINITY [J].