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Determination of an unknown time-dependent function in parabolic partial differential equations, plays a very important role in many branches of science and engineering. In the current investigation, the Adomian decomposition method is used for finding a control parameter p(t) in the quasilinear parabolic equation ut=uxx+p(t)u+ϕ, in [0,1]×(0,T] with known initial and boundary conditions and subject...
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