On one nonclassical problem for the Laplace equation

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dc.contributor.authorDanilkina, Olga
dc.date.accessioned2021-05-11T12:42:43Z
dc.date.available2021-05-11T12:42:43Z
dc.date.issued2017
dc.descriptionPaper presented at the 4th Strathmore International Mathematics Conference (SIMC 2017), 19 - 23 June 2017, Strathmore University, Nairobi, Kenya.en_US
dc.description.abstractNonlocal problems received special attention over the past few decades due to efficient descriptions of various phenomena in physics, chemistry and engineering in cases when data from the boundary of the process or initial data are not available. In this paper, we study a nonclassical problem for the Laplace equation with nonlocal integral boundary conditions in the rectangular domain. We introduce a number of auxiliary problems, obtain a system of integral equations and then construct a recurrent relation based on the homotopy analysis method (HAM) to find a solution of the nonlocal problem. The existence and uniqueness theorem is proved.en_US
dc.identifier.urihttp://hdl.handle.net/11071/11824
dc.language.isoenen_US
dc.publisherStrathmore Universityen_US
dc.subjectLaplace equationen_US
dc.subjectHomotopy Analysis Method (HAM)en_US
dc.titleOn one nonclassical problem for the Laplace equationen_US
dc.typeArticleen_US

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