Solution of nonlinear problems in applied sciences by generalized collocation methods and mathematica

被引：24

作者：

Bellomo, N ^{[1
]}

De Angelis, E

Graziano, L

Romano, A

机构：

[1] Politecn Torino, Dept Math, I-10129 Turin, Italy

[2] Univ Naples Federico 2, Dept Math, I-80126 Naples, Italy

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2001年 / 41卷 / 10-11期

关键词：

nonlinear problems; nonlinear sciences; evolution equations; sinc functions; collocation; interpolation; spectral methods;

D O I：

10.1016/S0898-1221(01)00101-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the developments of mathematical methods for tire discretization of continuous models and the solution of nonlinear problems of interest in applied sciences. The contents refer to developments of the differential quadrature method which leads to the so-called generalized collocation methods. The method is developed and applied to the solution of initial-boundary value problems. The computational problems are technically solved with Mathematica, (C) 2001 Elsevier Science Ltd. All rights reserved.

引用

页码：1343 / 1363

页数：21

共 34 条

[1] A posteriori error estimation for the finite element method-of-lines solution of parabolic problems [J].