Multiquadric approximation scheme on the numerical solution of delay differential systems of neutral type

被引：15

作者：

Vanani, S. Karimi ^{[1
]}

Aminataei, A. ^{[1
]}

机构：

[1] KN Toosi Univ Technol, Dept Math, Tehran, Iran

来源：

MATHEMATICAL AND COMPUTER MODELLING | 2009年 / 49卷 / 1-2期

关键词：

Multiquadric approximation scheme; Delay differential systems; Neutral delay differential systems; Error analysis; Stability of the method; Run time of computations; COMPUTATIONAL FLUID-DYNAMICS; POSITIVE DEFINITE FUNCTIONS; SCATTERED DATA; INTERPOLATION; EQUATIONS;

D O I：

10.1016/j.mcm.2008.03.016

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this paper, the aim is to present the multiquadric approximation scheme on the numerical solution of delay differential systems of neutral type. In presenting the process of the solution, the error estimation and run time of the method is introduced. We present the advantages of using the method and compare it with other methods. Comparing the numerical results obtained from the other methods, demonstrate the high accuracy and the efficiency of the proposed method. Also, we present some experiments in which numerical results show that the method works excellently, even where the data points are scattered. This indicates that the method is stable too. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：234 / 241

页数：8

共 19 条

[11] MULTIQUADRICS - A SCATTERED DATA APPROXIMATION SCHEME WITH APPLICATIONS TO COMPUTATIONAL FLUID-DYNAMICS .1.
KANSA, EJ
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1990, 19 (8-9) : 127 - 145
[12] MULTIQUADRICS - A SCATTERED DATA APPROXIMATION SCHEME WITH APPLICATIONS TO COMPUTATIONAL FLUID-DYNAMICS .2. SOLUTIONS TO PARABOLIC, HYPERBOLIC AND ELLIPTIC PARTIAL-DIFFERENTIAL EQUATIONS
KANSA, EJ
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1990, 19 (8-9) : 147 - 161
[13] MISCELLANEOUS ERROR-BOUNDS FOR MULTIQUADRIC AND RELATED INTERPOLATORS
MADYCH, WR
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1992, 24 (12) : 121 - 138
[14] MADYCH WR, 1990, MATH COMPUT, V54, P211, DOI 10.1090/S0025-5718-1990-0993931-7
[15] Numerical solution of differential equations using multiquadric radial basis function networks
Mai-Duy, N
Tran-Cong, T
[J]. NEURAL NETWORKS, 2001, 14 (02) : 185 - 199
[16] INTERPOLATION OF SCATTERED DATA - DISTANCE MATRICES AND CONDITIONALLY POSITIVE DEFINITE FUNCTIONS
MICCHELLI, CA
[J]. CONSTRUCTIVE APPROXIMATION, 1986, 2 (01) : 11 - 22
[17] Salamon D., 1984, RES NOTES MATH, V91
[18] Zerroukat M, 1998, INT J NUMER METH ENG, V42, P1263, DOI 10.1002/(SICI)1097-0207(19980815)42:7<1263::AID-NME431>3.0.CO
[19] 2-I

← 1 2 →