Numerical solutions of dynamic measurement challenges by volterra equations
This paper employs a new approach in the theory of dynamic measurements based on representing the model of a measuring device with the help of automatic control. We consider a special first kind Volterra equation that arises in the inverse boundary value heat conduction problem. The particular properties of the equations under study require the consideration of the floating point arithmetic performed by computers. To evaluate the efficiency of methods that take into account the special properties of the equation, we carried out a comparative analysis between the errors stipulated by those methods and the errors of regularized solutions obtained via the projection regularization method. We demonstrate that the joint application of the approaches based on the middle point rule and the product integration method is quite effective. © 2018 IEEE.
Библиографическая ссылка Solodusha S., Yaparova N. Numerical solutions of dynamic measurement challenges by volterra equations // Proceedings - 2018 International Conference on Industrial Engineering, Applications and Manufacturing, ICIEAM 2018. ID: 8729132. ISBN (print): 9781538643075. DOI: 10.1109/ICIEAM.2018.8729132
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