Closed form root of a linear Klein–Gordon equation

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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.

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QA Mathematics

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