The modified Broyden-variational method for solving nonlinear elliptic differential equations

Muhammed I. Syam

doi:10.1016/j.chaos.2005.04.126

The modified Broyden-variational method for solving nonlinear elliptic differential equations

Muhammed I. Syam

Department of Mathematical Sciences

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

26 Citations (Scopus)

Abstract

In this paper, we present a numerical technique for solving nonlinear elliptic differential equations. It is based on the variational method which produces an underdetermined system of equations. We used the predictor-corrector technique to solve this system. We modify the Broyden update method and we use it as a corrector. Numerical results and conclusions will be presented.

Original language	English
Pages (from-to)	392-404
Number of pages	13
Journal	Chaos, Solitons and Fractals
Volume	32
Issue number	2
DOIs	https://doi.org/10.1016/j.chaos.2005.04.126
Publication status	Published - Apr 2007

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematics(all)
Physics and Astronomy(all)
Applied Mathematics

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10.1016/j.chaos.2005.04.126

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abstract = "In this paper, we present a numerical technique for solving nonlinear elliptic differential equations. It is based on the variational method which produces an underdetermined system of equations. We used the predictor-corrector technique to solve this system. We modify the Broyden update method and we use it as a corrector. Numerical results and conclusions will be presented.",

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AB - In this paper, we present a numerical technique for solving nonlinear elliptic differential equations. It is based on the variational method which produces an underdetermined system of equations. We used the predictor-corrector technique to solve this system. We modify the Broyden update method and we use it as a corrector. Numerical results and conclusions will be presented.

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The modified Broyden-variational method for solving nonlinear elliptic differential equations

Abstract

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