Abstract: In this paper the finite Fourier cosine transform is presented to obtain solutions for Klein-Gordon equations. The finite Fourier cosine transform method was successfully applied to Klein - Gordon equation. The initial-boundary value problems for the Klein-Gordon equations are solved on the half range. Such problems posed on time-depend domain. The results reveal that the finite Fourier cosine transform is very effective, simple, convenient and flexible.
Keywords: Differential equations, Dispersive, Perturbation, Decomposition.
Title: Solutions of Klein - Gordon Equation, Using Finite Fourier Cosine Transform
Author: Abdallah Habila Ali, Samar samir Elshami
International Journal of Mathematics and Physical Sciences Research
ISSN 2348-5736 (Online)
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