Boundary Condition

Definition: Boundary Condition

Boundary Condition

Noun

1. (math) a condition specified for the solution to a set of differential equations.

Crosswords: Boundary Condition

English words defined with "boundary condition": To make terms. (references)

Specialty definitions using "boundary condition": boundary-value problem ♦ timber cruiser. (references)

Specialty Definition: Boundary condition

(From Wikipedia, the free Encyclopedia)

In mathematics, boundary conditions are imposed on the solutions of ordinary differential equations and partial differential equations, to fit the solutions to the actual problem. Usually the appropriate solution is unique, while the set of all solutions is infinite. There are many kinds of possible condition, depending on the formulation of the problem, number of variables involved, and (crucially) the mathematical nature of the equation.

For example when a vibrating string is modelled, we assume that the two ends are held fixed: this accords with physical intuition. With the function to be found representing the displacement as function of position on the string, this implies the solution should take the value 0 at two points through all time.

The general picture is of a boundary (in one or several parts) where solutions are specified.

Famous in potential theory (an elliptic PDE) are the Dirichlet and Neumann boundary conditions, on a boundary enclosing a compact region. For a wave (hyperbolic) PDE one assumes waves propagate from an initial disturbance along some surface.

There are very many types of possible conditions.

Frequency of Internet Keywords: Boundary Condition

The following statistics estimate the number of searches per day across the major English-language search engines as identified by various trade publications. Hyperlinks lead to commercial use of the expression at Amazon.com.

Anagrams: Boundary Condition

Scrabble® Enable2K-Verified Anagrams
	Words within the letters "a-b-c-d-d-i-i-n-n-n-o-o-o-r-t-u-y"
	-5 letters: coordination.
Source: compiled by the editor from various references; see credits. SCRABBLE® is a registered trademark. All intellectual property rights in and to the game are owned in the U.S.A and Canada by Hasbro Inc., and throughout the rest of the world by J.W. Spear & Sons Limited of Maidenhead, Berkshire, England, a subsidiary of Mattel Inc. Mattel and Spear are not affiliated with Hasbro.

Alternative Orthography: Boundary Condition

Hexadecimal (or equivalents, 770AD-1900s) (references)

42 6F 75 6E 64 61 72 79 43 6F 6E 64 69 74 69 6F 6E

Leonardo da Vinci (1452-1519; backwards) (references)

Binary Code (1918-1938, probably earlier) (references)

01000010 01101111 01110101 01101110 01100100 01100001 01110010 01111001 00100000 01000011 01101111 01101110 01100100 01101001 01110100 01101001 01101111 01101110

HTML Code (1990) (references)

&#66 &#111 &#117 &#110 &#100 &#97 &#114 &#121 &#32 &#67 &#111 &#110 &#100 &#105 &#116 &#105 &#111 &#110

ISO 10646 (1991-1993) (references)

0042 006F 0075 006E 0064 0061 0072 0079 0043 006F 006E 0064 0069 0074 0069 006F 006E

Encryption (beginner's substitution cypher): (references)

36818780706784912378180707586758180

INDEX

1. Definition
2. Crosswords
3. Usage: Commercial
4. Expressions: Internet

5. Translations: Modern
6. Anagrams
7. Orthography
8. Bibliography

Note to the press & webmasters - this dictionary can be linked, indexed, or referred to using the following non-English expressions:
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definisie, qartësi, përcaktim, saktësi, ‏الوضوحية في الشيء, ‏حد, ‏تحديد, ‏تعريف, ‏التحديد, ‏الإيضاحية, яснота, сила, очертания, дефиниция, 定義 , 定义, definice, deskriptordefinition, definitie, määritelmä, définition, ορισμός, �"�'�"ר�", �"�'בל�", meghatározás, definíció, definizione, 確定 , ディーゼル電気車 , デ�'ドロ酢酸 , デフィニション , ディフィニション , ていぎ, かくてい, � �의, geyrid, meenaghey, keeayllaght, baght, definishon, definição, definiţie, determinare, definire, определение, definicija, definición, definition, açıklama, belirleme, belirtme, kesinleştirme, tanım, tarif, seçiklik, tanımlama, чіткість, тлумачення, виразність, визначення, дефініція, ясність, чітка чутність, sự định rõ, sự định nghĩa, lời định nghĩa sự định, diffiniad, darnodiad, for definition;
vertaling, transferim, transmetim, ‏ترجمة من لغة أجنبية للغة الأم, ‏ترجمة, ‏إفتتان, транслация, огъване, превод, предаване, поддаване, тълкуване, превеждане, 翻译, překlad, oversættelse, translatie, taajuusmuutos, translaatio, traduction, oersetting, Übersetzung, μετάφραση, תור�'מ� ות, תר�'ום, �"עתק�", �"עתק, fordítás, traduzione, 翻訳 , へい�"ういどう, やくしょ, やくしゅつ, �"うどく, ほ�"やく, トランスレーション , やくじゅつ, ほ�"やくしょ, 번역, tradukshon, tradução, translaţie, tãlmãcire, traducere, сдвиг, трансляция, перемещение, перевод, tumačenje, traducción, översättning, tercüme, процес перекладу, переклад, пояснення, переміщення, sự dịch, sự biến th� nh sự giải thích, trosiad, for translation;
gjuha e popullsisë së ishullit men, manský, manština, manx, mann-szigeti nyelv, Gaelgagh, Yn Ghaelg, Manninish, Manninagh, язык жителей о-ва мэн, с о-ва мэн, s ostrva mana, los habitantes de la isla de man, lengua de la isla de man, de la isla de man, från ön man, man dili, man adası, менський діалект, менський, for manx;

Domain	Title
Music	No Boundary Condition (reference) (more classical music examples; more popular music examples)
Source: compiled by the editor from various references; see credits.

Expression	Frequency per Day
boundary condition navier stokes	6
boundary condition lattice structure triangular	4
boundary condition	4
Source: compiled by the editor from various references; see credits.

Language		Translations for "boundary condition"; alternative meanings/domain in parentheses.
Manx		conaant caglee. (various references)

Pig Latin		oundarybay onditioncay
Source: compiled by the editor from various translation references.

Boundary Condition

Definition: Boundary Condition