他剪短 发表于 2025-3-21 16:44:35

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anthesis 发表于 2025-3-21 23:43:19

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

冲突 发表于 2025-3-22 03:25:41

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ANTIC 发表于 2025-3-22 08:32:18

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.

Radiculopathy 发表于 2025-3-22 11:34:19

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善辩 发表于 2025-3-22 15:21:32

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善辩 发表于 2025-3-22 19:34:38

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吗啡 发表于 2025-3-22 23:11:29

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,

Adj异类的 发表于 2025-3-23 05:12:56

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.

Ovulation 发表于 2025-3-23 07:17:46

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