Nonlinear Galerkin method for the steady nonlinear differentials equations

Yiannian He; K. Li

Nonlinear Galerkin method for the steady nonlinear differentials equations

Yiannian He, K. Li

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

A nonlinear Galerkin method using spectral expansions is presented for the steady nonlinear partial differential equations. We prove the existence, uniqueness and convergence of the numerical solution corresponding to this method. Compared with the usual Galerkin method, the nonlinear Garlekin method is simpler under the same convergence accuracy.

Original language	English
Pages (from-to)	320-328
Journal	Systems Science and Mathematical Sciences
Volume	10
Issue number	4
Publication status	Published - 1997

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@article{461c0585617649759e19621858ebe94a,

title = "Nonlinear Galerkin method for the steady nonlinear differentials equations",

abstract = "A nonlinear Galerkin method using spectral expansions is presented for the steady nonlinear partial differential equations. We prove the existence, uniqueness and convergence of the numerical solution corresponding to this method. Compared with the usual Galerkin method, the nonlinear Garlekin method is simpler under the same convergence accuracy.",

author = "Yiannian He and K. Li",

year = "1997",

language = "English",

volume = "10",

pages = "320--328",

journal = "Systems Science and Mathematical Sciences",

issn = "1000-9590",

number = "4",

}

TY - JOUR

T1 - Nonlinear Galerkin method for the steady nonlinear differentials equations

AU - He, Yiannian

AU - Li, K.

PY - 1997

Y1 - 1997

N2 - A nonlinear Galerkin method using spectral expansions is presented for the steady nonlinear partial differential equations. We prove the existence, uniqueness and convergence of the numerical solution corresponding to this method. Compared with the usual Galerkin method, the nonlinear Garlekin method is simpler under the same convergence accuracy.

AB - A nonlinear Galerkin method using spectral expansions is presented for the steady nonlinear partial differential equations. We prove the existence, uniqueness and convergence of the numerical solution corresponding to this method. Compared with the usual Galerkin method, the nonlinear Garlekin method is simpler under the same convergence accuracy.

M3 - Article

VL - 10

SP - 320

EP - 328

JO - Systems Science and Mathematical Sciences

JF - Systems Science and Mathematical Sciences

SN - 1000-9590

IS - 4

ER -