SOLUTION OF NONLINEAR INITIAL-BOUNDARY VALUE-PROBLEMS BY SINC COLLOCATION-INTERPOLATION METHODS

被引：32

作者：

BELLOMO, N ^{[1
]}

RIDOLFI, L ^{[1
]}

机构：

[1] POLITECN TORINO, DEPT HYDRAUL & CIVIL ENGN, TURIN, ITALY

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1995年 / 29卷 / 04期

关键词：

NONLINEAR PROBLEMS; EVOLUTION EQUATIONS; SINC FUNCTIONS; COLLOCATION; INTERPOLATION; HYDRODYNAMICS;

D O I：

10.1016/0898-1221(94)00234-C

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the solution of initial-boundary value problems for nonlinear evolution equations in one and two space dimensions. The solution technique is based on collocation-interpolation methods which use sine functions. The application refers to some direct and inverse-type problems.

引用

页码：15 / 28

页数：14

共 21 条

[1]

Back J.V., 1985, INVERSE HEAT CONDUCT

[2] DIFFERENTIAL QUADRATURE - TECHNIQUE FOR RAPID SOLUTION OF NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS [J].

BELLMAN, R ;

CASTI, J ;

KASHEF, BG .

JOURNAL OF COMPUTATIONAL PHYSICS, 1972, 10 (01) :40-&

[3] STOCHASTIC PARTIAL-DIFFERENTIAL EQUATIONS IN CONTINUUM PHYSICS - ON THE FOUNDATIONS OF THE STOCHASTIC INTERPOLATION METHOD FOR ITOS TYPE EQUATIONS [J].

BELLOMO, N ;

FLANDOLI, F .

MATHEMATICS AND COMPUTERS IN SIMULATION, 1989, 31 (1-2) :3-17

[4]

Bellomo N, 1992, NONLINEAR STOCHASTIC

[5]

BELLOMO N, 1994, MODELLING MATH METHO

[6]

Dautray R., 1990, PHYS ORIGINS CLASSIC, V1

[7]

FETON J, 1979, J FLUID MECH, V94, P129

[8]

LUND JE, 1992, SINC METHODS

[9] KORTEWEG-DEVRIES EQUATION - SURVEY OF RESULTS [J].

MIURA, RM .

SIAM REVIEW, 1976, 18 (03) :412-459

[10]

OSBORNE A, 1985, IL NUOVO CIMENTO C, V8

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