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By using the heat balance equation and the modified Fourier's law formula, where the heat flux relaxation and temperature gradient were considered, the model of heat ignition nonequilibrium process for the plate with non-linear (exponentially changing depending on the temperature) inner heat source was developed. The studies performed at relaxed boundary thirdclass conditions have shown that consideration of non-locality results in the increased heat ignition time irrespective of the intensitydoi:10.1088/1742-6596/891/1/012100 fatcat:leoy3i6c4fcf7nv5ymcwa6tvce