Using AVK method to solve nonlinear problems with uncertain parameters

K. P. Badakhshan; A. V. Kamyad; A. Azemi

doi:10.1016/j.amc.2006.11.172

Using AVK method to solve nonlinear problems with uncertain parameters

K. P. Badakhshan, A. V. Kamyad, A. Azemi

Penn State Brandywine

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

11 Scopus citations

Abstract

Although we usually would like to work with exact systems, most of the real world systems are nonlinear with uncertain parameters. In this paper, we propose AVK (A.V. Kamyad) approach to solve nonlinear problems with uncertain parameters (NPUP). This approach substitutes the original nonlinear system with an equivalent nonlinear programming (NLP) problem. Using this approach, we found an optimal solution of NLP problem and a new approximate solution for the original NPUP in L_p space.

Original language	English (US)
Pages (from-to)	27-34
Number of pages	8
Journal	Applied Mathematics and Computation
Volume	189
Issue number	1
DOIs	https://doi.org/10.1016/j.amc.2006.11.172
State	Published - Jun 1 2007

All Science Journal Classification (ASJC) codes

Computational Mathematics
Applied Mathematics

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10.1016/j.amc.2006.11.172

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AB - Although we usually would like to work with exact systems, most of the real world systems are nonlinear with uncertain parameters. In this paper, we propose AVK (A.V. Kamyad) approach to solve nonlinear problems with uncertain parameters (NPUP). This approach substitutes the original nonlinear system with an equivalent nonlinear programming (NLP) problem. Using this approach, we found an optimal solution of NLP problem and a new approximate solution for the original NPUP in Lp space.

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Using AVK method to solve nonlinear problems with uncertain parameters

Abstract

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