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Design neural network based upon decomposition approach for solving reaction diffusion equation

This paper proposed a new approach for designing artificial neural network based upon decomposition technique that is the problem decomposing into two sub problems. The first sub problem processed by an artificial neural network depending on the given data to get an estimate of the parameters in problem and then uses to solve the second sub problem by obtaining the differential terms in the formulation of the this sub problem. The proposed design is greatly simplifies the problem of parameter estimation, high computational requiring is avoided and instead two smaller problems which be easier solved. Also, the proposed design is useful for noisy data sets.