University of Bahrain
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The reproducing kernel Hilbert space method for solving Troesch’s problem

Show simple item record Inc, Mustafa Akgul, Ali 2018-07-29T05:45:44Z 2018-07-29T05:45:44Z 2013
dc.identifier.issn 1815-3852
dc.description.abstract In this paper, the reproducing kernel Hilbert space method (RKHSM) is applied for solving Troesch’s problem. We used numerical examples to illustrate the accuracy and implementation of the method. The analytical result of the equation has been obtained in terms of a convergent series with easily computable components. The results are compared with the ones obtained by the homotopy perturbation method (HPM), the Laplace decomposition method (LDM), the perturbation method (PM), the Adomian decomposition method (ADM), the variational iteration method (VIM), the B-spline method and the nonstandard finite difference scheme (FDS) by using tables and figures. Numerical results show that the present method is effective. en_US
dc.language.iso en en_US
dc.publisher University of Bahrain en_US
dc.rights Attribution-NonCommercial-ShareAlike 4.0 International *
dc.rights.uri *
dc.subject Reproducing kernel method
dc.subject Series solutions
dc.subject Troesch’s problem
dc.subject Reproducing kernel space
dc.title The reproducing kernel Hilbert space method for solving Troesch’s problem en_US
dc.type Article en_US
dc.source.title Arab Journal of Basic and Applied Sciences
dc.abbreviatedsourcetitle AJBAS

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