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- ...''' are computational schemes to obtain approximate solutions of [[partial differential equation]]s (PDEs). ...rikwerda, J. C. (2004). Finite difference schemes and partial differential equations. SIAM.</ref> This method approximates derivatives as differences: ...18 KB (2,441 words) - 21:46, 6 December 2024
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- ...e by itself|similar equations with two or more variables by itself|Partial differential equation}} In [[mathematics]], a '''linear differential equation''' is a [[differential equation]] that is stated by a [[linear polynomial]] in the unknown [[Funct ...1 KB (172 words) - 14:18, 21 July 2023
- ...flow-Obstructed-Duct.png|thumb|360px|A picture of airflow, modeled using a differential equation.]] ...ables change. Differential equations are special because the solution of a differential equation is itself a [[Function (mathematics)|function]] instead of a numbe ...3 KB (429 words) - 03:50, 1 November 2023
- ...ation domain, such as [[Partial differential equation|partial differential equations]],. They are equipped with a norm that measures both the size and regularit ...at [[Weak solution|weak solutions]] of some important partial differential equations exist in appropriate Sobolev spaces, even when there are no strong solution ...3 KB (397 words) - 20:30, 1 April 2024
- ...ar algebra is useful in other branches of mathematics (e.g. [[differential equations]] and [[analytic geometry]]). It can also be applied to the real world in a For example, consider the following equations: ...2 KB (271 words) - 01:25, 1 November 2023
- ...ypes, '''identities''' and '''conditional equations''' (or usually simply "equations")". « ''Equation'' », in ''Mathematics Dictionary'', Glenn James et Rober There are two kinds of mathematical equations: ...3 KB (456 words) - 20:05, 5 May 2024
- ...he equations is that of nonlinear [[partial differential equation]]s. Such equations are usually solved by [[approximation]]. An exact solution can be obtained [[Category:Equations]] ...2 KB (273 words) - 15:11, 7 January 2024
- ...ult, V., & Raviart, P. A. (2012). Finite element methods for Navier-Stokes equations: theory and algorithms (Vol. 5). Springer Science & Business Media.</ref> o .... (1999). An introduction to numerical methods for stochastic differential equations. Acta Numerica, 8, 197-246.</ref> and [[Markov chain]]s<ref>Behrends, E. (2 ...9 KB (1,196 words) - 04:14, 1 November 2023
- ...s://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:quadratic-functions-equations/x2f8bb11595b61c86:quadratic-formula-a1/a/discriminant-review|access-date=20 ...eral conic equations, and other mathematical entities such as differential equations and quadratic forms as well.<ref name=":0" /> ...2 KB (276 words) - 00:12, 4 February 2023
- ...very small quantities. In general, the term <math>dx</math> is called the differential of the variable <math>x</math>.<ref>{{Cite web|date=2020-05-11|title=List o ...time ''t'' + d''t'', ''s'' + d''s'' = (t + d''t'')<sup>2</sup>. From these equations, we can determine d''s'' in terms of d''t'' by using simple [[algebra]] as ...3 KB (355 words) - 14:30, 29 August 2023
- The '''Schrödinger equation''' is a [[differential equation]] (a type of equation that involves an unknown [[function (mathema ...n that the [[wave equation]] can be rewritten as two distinct differential equations ...8 KB (1,272 words) - 04:04, 15 February 2025
- [[File:Lotka-Volterra orbits.png|thumb|Solutions of the predator-prey equations for different starting conditions]] ...terra equations'''.<ref>Leigh E.R. 1968. The ecological role of Volterra's equations, in ''Some Mathematical Problems in Biology''. A modern discussion using Hu ...7 KB (1,000 words) - 15:56, 1 December 2024
- In [[mathematics]], '''divergence''' is a [[differential operator]] that takes a [[vector field]] and turns it into a [[scalar field Divergence is used to formulate [[Maxwell's equations]] and the [[continuity equation]]. ...2 KB (223 words) - 05:58, 20 February 2025
- '''Maxwell's equations''' describe how [[electric charge]]s and [[electric current]]s create elect In the 1860s [[James Clerk Maxwell]] published equations that describe how charged particles give rise to [[electric]] and [[magneti ...15 KB (2,352 words) - 13:53, 25 July 2021
- ...onential function]] <math>\exp(x)</math> is the solution of the [[ordinary differential equation]] <math>y^\prime=y</math>. Due to this relation, some [[mathematic ...ux-specfunc.htm Special functions] at ''EqWorld: The World of Mathematical Equations'' ...3 KB (451 words) - 21:53, 29 November 2023
- ...''' are computational schemes to obtain approximate solutions of [[partial differential equation]]s (PDEs). ...rikwerda, J. C. (2004). Finite difference schemes and partial differential equations. SIAM.</ref> This method approximates derivatives as differences: ...18 KB (2,441 words) - 21:46, 6 December 2024
- where '''E''' is the electric field and d'''A''' is a differential area on the surface <math>S</math> with an outward facing [[surface normal] ...ctric field in its [[integral]] form and it is one of the four [[Maxwell's equations]]. ...2 KB (377 words) - 06:19, 1 January 2018
- ...ong with [[derivative (mathematics)|derivatives]], [[integration]], and [[differential equation]]s. ...4 KB (639 words) - 16:54, 21 June 2024
- There are two different types of calculus. '''Differential calculus''' divides (''differentiates'') things into small (''different'') ==Differential calculus== ...11 KB (1,901 words) - 19:04, 14 March 2025
- ...without needing to divide the shape into an [[infinite]] number of pieces. Differential calculus is the opposite of [[integral calculus]]. It was developed in the ...notation is used by more books because it is easy to understand, when the equations become more complicated. In Leibniz notation:<ref>{{Cite web|date=2020-05-1 ...9 KB (1,613 words) - 14:28, 29 August 2023
- ...ive (mathematics)|derivative]], and integral calculus is the opposite of [[differential calculus]]. A '''derivative''' is the steepness (or "slope"), as the [[rate ===Simple Equations=== ...9 KB (1,459 words) - 02:03, 20 July 2024