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# International Journal Of Chemistry, Mathematics And Physics(IJCMP)

## Exact Solutions of Coupled Parallel Resonant Circuits Equations by Decomposition Method

E. U. Agom , F. O. Ogunfiditimi , I. M. Esuabana , B. E. A. Eno

International Journal of Chemistry, Mathematics And Physics(IJCMP), Vol-2,Issue-2, March - April 2018, Pages 19-22 , 10.22161/ijcmp.2.2.2

In this paper, we provide the solution of a modeled parallel resonant circuit using the decomposition method. The parallel resonant circuit also known as resistor (R) in ohms, inductor (L) in Henry and capacitor (C) in farads (RLC) circuit is used in turning radio or audio receivers. The mathematical models are in a system of ordinary differential equations (ODE), which we solve using the Adomian Decomposition Method (ADM). We discovered that this method gave exact solutions as can be obtained using any traditionally known analytic method. These findings are illustrated in three test problems.

Adomian Decomposition Method, Resonant Circuits, System of Differential equations.

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