The computational stability of finding method the coefficient of thermal conductivity of earth material with inexact data

Rysbaiuly, Bolatbek; Yunicheva, Nadiya

doi:10.1109/icecco.2015.7416907

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Difference Problems With Inaccurate Data1

Theorem 2 If Conditions1

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2016

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“…, besides α i , β i are calculated by the formulas (22) and (23). Assuma that all expressions are valid, then (26) has an inclusion point.…”

Section: Difference Problems With Inaccurate Datamentioning

confidence: 99%

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An iterative method to calculate the thermal characteristics of the rock mass with inaccurate initial data

2016

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Abstract:The paper discusses the coefficient inverse problem for one-dimensional heat equation with inaccurate initial data. A conjugate difference problem is developed on difference level. The problem is solved by method of interval analysis. Condition of applicability of Thomas method and its computational convergence are obtained. Estimates of the interval width of solutions of difference problems and functions of Thomas method are also gained.

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“…, besides α i , β i are calculated by the formulas (22) and (23). Assuma that all expressions are valid, then (26) has an inclusion point.…”

Section: Difference Problems With Inaccurate Datamentioning

confidence: 99%

“…Then equation 0 < α i < 1, i = N − 2, N − 3, · · · , 0.. holds. On the basis of this theorem, it can be argued that the conditions (22), (24) are analogous to a well conditionality [23].…”

Section: Theorem 2 If Conditionsmentioning

confidence: 99%