Open AccessClosed form root of a linear Klein–Gordon equation
Author(s) -
S.O. Edeki,
T. A. Anake,
S. A. Ejoh
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1299/1/012138
Subject(s) - decomposition , root (linguistics) , reliability (semiconductor) , nonlinear system , decomposition method (queueing theory) , mathematics , klein–gordon equation , statistics , physics , chemistry , thermodynamics , philosophy , linguistics , power (physics) , organic chemistry , quantum mechanics
In this paper, solution of the linear version of Klein-Gordon equation is considered via the application of natural transform combined with decomposition method. Hereafter, referred to as natural decomposition method (NDM). This proposed method shows viable improvement and reliability in usage compared to the classical natural transform. Illustrative example(s) are considered, and the solution (root) is shown to follow a closed form. Therefore, the NDM is recommended for highly nonlinear differential models both in pure and applied sciences.