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Analytical solution of the nonlinear shallow water equations by using laplace variational iteration method

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dc.contributor.advisor Alim, Dr. Md. Abdul
dc.contributor.author Aktar, Most Shewly
dc.date.accessioned 2019-03-18T04:28:31Z
dc.date.available 2019-03-18T04:28:31Z
dc.date.issued 2018-08-05
dc.identifier.uri http://lib.buet.ac.bd:8080/xmlui/handle/123456789/5147
dc.description.abstract In recent time, numerous attention from researchers has been engrossed by the various features of the well-known He’s variational iteration method (VIM) and the reconstruction or modified variational iteration method. These methods are more powerful and effective to solve many problems. They provide a sequence which converges to the solution of the problem without discretization of the variables. The key advantage of the current method is that it can expand the convergence area of iterative approximate solutions. The goal of this thesis is to present an advanced Laplace variational analytical outline, constructed by the Variational Iteration method and Laplace Transform, to solve certain modules of linear and nonlinear differential equations (DEs). Moreover, the method is successfully extended to develop the mathematical model applying the unsteady nonlinear 1D shallow water equations (SWEs) for computing the river depth and velocity flow. An initial solution are carried out to investigate the applicability of the model. Comparison of the result obtained using this method with existing numerical method reveals that the present method is more effective and appropriate for solving the nonlinear shallow water equations. en_US
dc.language.iso en en_US
dc.publisher Department of Mathematics en_US
dc.subject Nonlinear theories en_US
dc.title Analytical solution of the nonlinear shallow water equations by using laplace variational iteration method en_US
dc.type Thesis-MSc en_US
dc.contributor.id 0416092501F en_US
dc.identifier.accessionNumber 116871
dc.contributor.callno 517.382/SHE/2018 en_US

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