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 languageEnglish
Pages (from-to)320-328
JournalSystems Science and Mathematical Sciences
Volume10
Issue number4
Publication statusPublished - 1997

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Nonlinear Galerkin Method
Nonlinear Differential Equations
Spectral Expansion
Galerkin Method
Nonlinear Partial Differential Equations
Existence and Uniqueness
Numerical Solution

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He, Yiannian ; Li, K. / Nonlinear Galerkin method for the steady nonlinear differentials equations. In: Systems Science and Mathematical Sciences. 1997 ; Vol. 10, No. 4. pp. 320-328.
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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",
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He, Y & Li, K 1997, 'Nonlinear Galerkin method for the steady nonlinear differentials equations', Systems Science and Mathematical Sciences, vol. 10, no. 4, pp. 320-328.

Nonlinear Galerkin method for the steady nonlinear differentials equations. / He, Yiannian; Li, K.

In: Systems Science and Mathematical Sciences, Vol. 10, No. 4, 1997, p. 320-328.

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

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 -

He Y, Li K. Nonlinear Galerkin method for the steady nonlinear differentials equations. Systems Science and Mathematical Sciences. 1997;10(4):320-328.