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This paper presents the application of a combined approach of Higher Order Neural Networks and Recurrent Neural Networks, so called Jordan Pi-Sigma Neural Network (JPSN) for comprehensive temperature forecasting. In the present study, one-step-ahead forecasts are made for daily temperature measurement, by using a 5-year historical temperature measurement data. We also examine the effects of network parameters viz the learning factors, the higher order terms and the number of neurons in the input layer for selecting the best network architecture, using several performance measures. The comparison results show that the JPSN model can provide excellent fit and forecasts with reasonable results, therefore can be used as temperature forecasting tool.