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Die vergelyking van verskillende metodes vir die numeriese omkering van die Laplace-transformasie

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dc.contributor.author Du Plessis E en
dc.date.accessioned 2016-09-22T11:54:32Z
dc.date.available 2016-09-22T11:54:32Z
dc.date.submitted 1970 en
dc.identifier.uri http://hdl.handle.net/20.500.11892/142029
dc.description.abstract Investigates various numeric inversion methods of the Laplace transformation. The fundamental convergence theorem for the Laplace transformation, theorems in connection with the transformation of integrated and differentiated functions, and a Fourier integral theorem are discusssed. Three inversion methods which make use of complex values of the transformed function are described, while those using only real values of the transformed function are also listed and deduced. For the purposes of numeric comparison, five problems are chosen and various methods applied to them. No method produced the best approach to the object function for all five problems. The absence of suitable mistake valuations may have contributed to this. Nonetheless, a few of the methods do produce better results in general than the others. One of the problems is also solved by the method of finite differences, and the results compared with those already obtained. en
dc.language Afrikaans en
dc.subject Mathematics, Mathematical statistics and Statistics en
dc.subject Numerical analysis and computer methods en
dc.title Die vergelyking van verskillende metodes vir die numeriese omkering van die Laplace-transformasie en
dc.title.alternative The comparison of different methods for the numeric inversion of the Laplace transformation en
dc.type Masters degree en
dc.description.degree MSc en


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