APPROXIMATE ANALYTICAL SOLUTION OF KLEIN-GORDON EQUATIONS BY THE MODIFIED ADOMIAN DECOMPOSITION METHOD

Y. Q. Hasan, A. A. Olalekan, N. M. Dabwan, S. A. Alaqel, S. G. Othman, and Z. A. Al-Rabahi

  DOI:  https://doi.org/10.37418/amsj.9.11.13

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In this work, the authors presented a new modification of Adomian Decomposition Method (ADM) to resolve Klein-Gordon equation. The Klein-Gordon Equation describes a wide variety of physical phenomena such as in wave propagation, in continuum mechanics and in the theoretical description of spinless particles in relativistic quantum mechanics. The authors applied this new procedure to solve this equation. The results resulting from the application of this method were good. And many times the exact solutions were obtained.

Keywords: Adomian Decomposition Method, Modified Adomian Decomposition Method, Klein-Gordon Equations.