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VNUHCM Journal of

Science and Technology Development

An official journal of Viet Nam National University Ho Chi Minh City, Viet Nam since 1997

ISSN: 1859-0128
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SOLVING THE CLASS OF NONLINEAR BOUNDARY VALUE PROBLEMS BY FINITE ELEMENT METHOD

Tran Van Lang 1
Nguyen Phu Vinh 2

Volume & Issue: Vol. 5 No. 1&2 (2002) | Page No.: 36-45 | DOI: 10.32508/stdj.v5i1&2.3400
Published: 2002-02-28

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Copyright © 2002 by the author(s).

This article is published with open access by Viet Nam National University, Ho Chi Minh City, Viet Nam. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0) which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited.

Abstract

We study the following nonlinear boundary value problem (*) where L >0, b1, b2 are given constants, M,N:[0,L]×IR→IR, f,g:(0,L) → IR are given functions. In this paper, by using finite element method, we prove the existence and uniqueness theorem of the weak solution of problem (*). We also obtain the results of convergence and error estimate.

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