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發(fā)表于 2025-3-21 16:44:35 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱(chēng)Group Invariance in Engineering Boundary Value Problems
編輯R. Seshadri,T. Y. Na
視頻videohttp://file.papertrans.cn/389/388913/388913.mp4
圖書(shū)封面Titlebook: ;
出版日期Textbook 1985
版次1
doihttps://doi.org/10.1007/978-1-4612-5102-6
isbn_softcover978-1-4612-9564-8
isbn_ebook978-1-4612-5102-6
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發(fā)表于 2025-3-21 23:43:19 | 只看該作者
Application of Similarity Analysis to Problems in Science and Engineering,linear heat equation. The methods were classified into (1) direct methods and (2) group-theoretic methods. In the direct methods, the concept of group invariance is not explicitly invoked. They are straightforward and simple to apply. Since the direct methods are based on assumed transformations, th
板凳
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發(fā)表于 2025-3-22 08:32:18 | 只看該作者
On Obtaining Non-Similar Solutions from Similar Solutions,equations and the associated boundary conditions are invariant under a group of transformations. However, if any of the equations and boundary conditions is not invariant under a group, then the problem becomes nonsimilar.
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From Nonlinear to Linear Differential Equations using Transformation Groups,uations. Since there is an abundance of methods for dealing with linear differential equations, a popular practice has been to introduce some form of approximation that would linearize the nonlinear equation. These approximations usually impose certain restrictions on the solutions. In this chapter,
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發(fā)表于 2025-3-23 05:12:56 | 只看該作者
Miscellaneous Topics,y. The method was developed based on the notion of Birkhoff., that whenever a system of equations transform invariantly under a group of transformations, solutions that are sought are also invariant under the same group.
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