冻土非线性传热模型的求解方法

IF 0.6 Q4 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Eurasian Journal of Mathematical and Computer Applications Pub Date : 2020-01-01 DOI:10.32523/2306-6172-2020-8-4-83-96

B. Rysbaiuly, N. Rysbaeva

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引用次数: 1

摘要

利用前人的实验研究结果，对冻土传热非线性模型进行了修正。构造了一个非线性差分方程，得到了求解非线性代数方程的先验估计。用牛顿法求解了非线性差分问题。本文还讨论了牛顿法初始近似的选择问题。利用先验估计，证明了迭代方法的二次收敛性。进行了数值计算。用图形表示了线性和非线性差分问题的结果之间的强烈差异。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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THE METHOD OF SOLVING NONLINEAR HEAT TRANSFER MODEL IN FREEZING SOIL

The nonlinear model of heat transfer in freezing soil was corrected using the results of experimental studies of other scientists. A nonlinear difference equation is constructed and a priori estimates are obtained for solving nonlinear algebraic equations. The nonlinear difference problem is solved by Newton’s method. The paper also considers the problem of choosing the initial approximation of Newton’s method. Using a priori estimates, the quadratic convergence of the iterative method is proved. Numerical calculations have been performed. A strong discrepancy in results between linear and nonlinear difference problem is shown using graphical representation.

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来源期刊

Eurasian Journal of Mathematical and Computer Applications MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

1.40

自引率

0.00%

发文量

期刊介绍： Eurasian Journal of Mathematical and Computer Applications (EJMCA) publishes carefully selected original research papers in all areas of Applied mathematics first of all from Europe and Asia. However papers by mathematicians from other continents are also welcome. From time to time Eurasian Journal of Mathematical and Computer Applications (EJMCA) will also publish survey papers. Eurasian Mathematical Journal publishes 4 issues in a year. A working language of the journal is English. Main topics are: - Mathematical methods and modeling in mechanics, mining, biology, geophysics, electrodynamics, acoustics, industry. - Inverse problems of mathematical physics: theory and computational approaches. - Medical and industry tomography. - Computer applications: distributed information systems, decision-making systems, embedded systems, information security, graphics.