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We consider a heat equation in one dimension with a boundaryinput and distributed output. An approximate inverse for theinput—output system described by this model is developed.The inverse is obtained by Galerkin approximation either (1)before or (2) after inversion. An estimate of the error dueto the approximation is established for the two cases. In addition,Fourier-series expansion is used to compare these inversionmethods. 相似文献
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