Digital Simulation of Stochastic Differential Equations.

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dc.contributor.authorAdewumi, David Olambo
dc.contributor.otherJaiyesimi, S. B.
dc.date.accessioned2014-04-02T14:37:37Z
dc.date.accessioned2018-10-27T12:24:53Z
dc.date.available2014-04-02T14:37:37Z
dc.date.available2018-10-27T12:24:53Z
dc.date.issued1985
dc.degree.awardPH.D. Computer Scienceen_US
dc.departmentComputer Scienceen_US
dc.description.abstractThe study of stochastic differential equations started with mathematicians using them as tools in the solution of physical problems. In science and engineering, s.d.e. arises in a natural phenomenon known as "white noise". Some of the major works done in this area of study has been in the analytical solution of s.d.e., very little attention has been paid to digital simulation techniques. In this thesis we have evolved a digital and analog simulation technique for solving s.d.e s. We have used the TRS-80 model II microcomputer system at the University of Ife, Nigeria and the 680 analog/parallel logic computer system of the University of Sussex; U.K. in our digital simulation procedures. We have used the improved Euler’s and Runge-Kutta's methods of numerical integration. We have solved some problems in science and engineering using the digital simulation techniques evolved. These problems are s.d.e. describing: the white noise, the Lagevin's equation, the influence of a rapidly fluctuating density of the earth on the motion of a satellite in a circular orbit, the motion of a rigid body rotating under a random force, the Fokker-Planks equation. We have also considered the convergence of the results and the probable error in the simulation experiments.en_US
dc.facultiesScienceen_US
dc.format.filetypePDFen_US
dc.identifier.citationAPAen_US
dc.identifier.urihttp://localhost:8080/xmlui/handle/123456789/2126
dc.language.isoenen_US
dc.pages.totalpages39pen_US
dc.publisherObafemi Awolowo Universityen_US
dc.subjectStochastic Differential Equationsen_US
dc.subjectdigital simulationen_US
dc.subjectwhite noiseen_US
dc.subjectlagevin’s equationen_US
dc.subjectFokker-planks equationen_US
dc.titleDigital Simulation of Stochastic Differential Equations.en_US
dc.typeThesisen_US
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