Temat: separation of variables - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Analytical Cartesian coordinate solutions of Laplace equations by separation of variable method in mathematical physics
Autorzy:: Madububa, B. I.
Mbagwu, JP. C.
Jonas, C. I.
Odionyenma, U. B.
Powiązania:: https://bibliotekanauki.pl/articles/1193372.pdf
Data publikacji:: 2021
Wydawca:: Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:: Cartesian coordinates
Dimensions of space
Laplace equations
Partial derivatives
Potential
Separation of variables
Opis:: 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.
Źródło:: World Scientific News; 2021, 155; 80-97
2392-2192
Pojawia się w:: World Scientific News
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: Analytical Solution to Linear Conformable Fractional Partial Differential Equations
Autorzy:: Dixit, Ajay
Ujlayan, Amit
Powiązania:: https://bibliotekanauki.pl/articles/1159232.pdf
Data publikacji:: 2018
Wydawca:: Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:: Conformable fractional derivative
Fractional partial differential equation
Katugampola’s derivative
Method of separation of variables
Opis:: An analytical solution is better than an approximate or series solution of a problem. Here we develop an analytical formulation to solve linear fractional order partial differential equations with given boundary conditions. We discuss the method for the simultaneous fractional derivative, in space as well as time and up to order two. Examples reflect the effectiveness and simplicity of the method. First we convert the fractional derivative into integer order derivative and then use method of separation of variables in usual sense to get the complete solution. The fractional derivative has been taken in the sense of Katugampola’s derivative.
Źródło:: World Scientific News; 2018, 113; 49-56
2392-2192
Pojawia się w:: World Scientific News
Dostawca treści:: Biblioteka Nauki

Artykuł

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