Study of Exponential Decay and Exact Solution of Evolution System via Energy Perturbation and Decomposition Methods

Abstract

Energy functional and Adomian Decomposition Methods (ADM) are employed, respectively, in order to investigate the stability of a system of connected wave equations in parallel via internal feedback controllers. Numerical computations have also been attempted for confirmation purposes.

Keywords

Energy functional Adomian decomposition method Laplace transform Padé approximation stabilizability wave equations.

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