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2021 | 155 | 80-97
Article title

Analytical Cartesian coordinate solutions of Laplace equations by separation of variable method in mathematical physics

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Abstracts
EN
This research aimed at solving the Cartesian coordinates of two and three dimensional Laplace equations by separation of variables method. It was painstakingly solved with appropriate boundary conditions of steady states. However, the solution of potential (V) of a partial differential equation (PDE) in three real variables x,y and z are functionally obtained using separation of variable approach by stating the boundary conditions of the Cartesian coordinates.
Year
Volume
155
Pages
80-97
Physical description
Contributors
  • Department of Physics, Federal University of Technology Owerri, P.M.B. 1526, Owerri, Imo State, Nigeria
author
  • Department of Physics, Imo State University, Owerri, Nigeria
author
  • Department of Mathematics, Federal University of Technology Owerri, P.M.B. 1526, Owerri, Imo State, Nigeria
  • Department of Mathematics, Federal University of Technology Owerri, P.M.B. 1526, Owerri, Imo State, Nigeria
References
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  • [6] Matthias A. Onabid (2012). Solving three-dimensional (3D) Laplace equations by Successive over- relaxation methods. African Journal of Mathematics and Computer Science Research, Vol 5(13), pp. 204-208
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  • [12] Stephane Mottin (2015). An analytical solution of the Laplace equation with the Robin conditions by applying Legendre transform. Integral Transforms and Special Function Vol. 27. No. 4, pp. 289-306. https://doi.org/10.1080/10652469.2015.1121255
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  • [19] Hassan Eltayeb, Adem Kılıçman. (2008). A note on solutions of wave, Laplace’s and heat equations with convolution terms by using a double Laplace transform. Applied Mathematics Letters Vol. 5(21), pp. 1324-1329
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Document Type
article
Publication order reference
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YADDA identifier
bwmeta1.element.psjd-0deee15b-4600-4b73-ab3d-54dfd48a6d04
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