Solving an inverse Cauchy Problem for modified Helmholtz Equations depending on a polynomial expansion approximation
DOI:
https://doi.org/10.24237/ASJ.03.01.783BAbstract
In this study, a heat conduction in fin-related inverse problem for the modified Helmholtz equation is taken into consideration. The purpose of this study is to estimate the temperature on an under-specified boundary (a part of the outer border of a given domain) by using the Cauchy data, on a portion of the boundary that is accessible (boundary temperature and heat flux). The suggested meshless approach is used to numerically solve this problem. By injecting a noise to the Cauchy data, the stability is verified.
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