Please use this identifier to cite or link to this item: http://ir.mu.ac.ke:8080/jspui/handle/123456789/6052
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dc.contributor.authorRonoh, K.N.-
dc.contributor.authorManderick, B.-
dc.contributor.authorOdoyo, Oyamo Reuben-
dc.contributor.authorMilgo, Edna-
dc.date.accessioned2022-03-03T15:19:31Z-
dc.date.available2022-03-03T15:19:31Z-
dc.date.issued2015-
dc.identifier.urihttp://ir.mu.ac.ke:8080/jspui/handle/123456789/6052-
dc.description.abstractPartial differential equations P.D.Es govern mechanical systems which contain multiple parameters. Linear and certain non-linear P.D.Es can be solved using such analytic methods as separation of variables. How- ever, certain P.D.Es exist, which cannot be solved analytically. This calls for an alternative method of solution. Finite difference Methods (F.D.Ms) provide a realistic physical approach towards the modeling of these problems. The wave equation can be solved using the explicit and therefore conditionally stable Forward in Time and Centered in Space F.T.C.S F.D.M. It is shown here that the Local Truncation Error (LTE) in the result is relatively negligible. An implicit scheme, which is uncon- ditionally stable, is developed and the conclusion made that the scheme can be used to solve other non-linear P.D.Es with a higher degree of stability.en_US
dc.language.isoenen_US
dc.publisherScienpress Ltd.en_US
dc.subjectWave equationen_US
dc.subjectLocal truncation erroren_US
dc.subjectImplicit schemeen_US
dc.subjectStabilityen_US
dc.titleThe three level two point scheme for the vibrating membrane problemen_US
dc.typeArticleen_US
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