Truncation approximants to probabilistic evolution of ordinary differential equations under initial conditions via bidiagonal evolution matrices: simple case

Hunutlu, Fatih; Baykara, N. A.; Demіralp, Metin

doi:10.1080/00207160.2013.774385

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Probabilistic Evolution Approach1

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2016

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Cited by 2 publications

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“…They are ordered in ascending powers. This brings limitations to the solution in (7). However, the Probabilistic Equation given by (5) has a broader solution as long as the initial vector is composed of not powers but just general values [11].…”

Section: Probabilistic Evolution Approachmentioning

confidence: 99%

Fluctuation suppression to optimize initial data to increase the quality of truncation approximants in probabilistic evolution approach for ODEs: Basic philosophy

Okan¹,

Baykara²,

Demіralp³

2012

AIP Conference Proceedings

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Ensemble fluctuations and the origin of quantum probabilistic ruleAbstract. This work focuses on initial fluctuation optimization on truncation approximants of Probabilistic Evolution for Ordinary Differential Equations (ODEs). Probabilistic Evolution Approach (PEA) is a new method which is proposed by Metin Demiralp and his group (Group of Science and Methods of Computing). This approximation enables us to convert nonlinear differential equations to linear ones.

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Section: Probabilistic Evolution Approachmentioning

confidence: 99%