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
BELLMAN, R
CASTI, J
KASHEF, BG
[J]. 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
BELLOMO, N
FLANDOLI, F
[J]. 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
MIURA, RM
[J]. SIAM REVIEW, 1976, 18 (03) : 412 - 459
[10] OSBORNE A, 1985, IL NUOVO CIMENTO C, V8

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