Volume 21 • Number 2 • 1998
A New Approach to Solve a Nonlinear Wave Equation
Dogan Kaya
Abstract. We use the Adomian decomposition method to study a nonlinear wave equation. The decomposition method plays an important role in a wide class of differential and integral equations, stochastic and deterministic problems (linear or nonlinear) in Mathematics and Physics. The method provides solution without linearization, perturbation, or unjustified assumptions. An analytic solution of a nonlinear wave equation in the form of a series with easily computable components using the decomposition method will be determined. The nonhomogeneous equation is effectively solved by employing the phenomena of the self-canceling “noise” terms. The phenomena is useful in demonstrating a fast convergence of the exact solution.

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