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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
- ...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
- ...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
- The '''Schrödinger equation''' is a [[differential equation]] (a type of equation that involves an unknown [[function (mathema ...rtial^2}{\partial x^2}\Psi(x,\,t) + V(x)\Psi(x,t) = i\hbar\frac{\partial}{\partial t} \Psi(x,\,t)</math> ...8 KB (1,272 words) - 04:04, 15 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
- ...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
- ...''' 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
- ...[electric current]] passing through the loop. It is now one of [[Maxwell's equations]], which form the basis of [[classical physics|classical]] [[electromagneti The law can be written in two forms, the "integral form" and the "differential form". The forms are equivalent, and related by the [[Kelvin–Stokes theorem ...24 KB (3,663 words) - 03:11, 26 June 2024
- ...capacity]] between products and reactants: <math>{{\partial \Delta H}\over\partial T} = \Delta C_p</math>. [[Integral|Integrating]] this equation allows the [ ...e the temperature and give the calculated data quickly. One example is a [[differential scanning calorimeter]] (DSC). ...7 KB (952 words) - 23:11, 25 December 2023
- The mathematical equations of quantum mechanics are abstract, which means it is impossible to know the ...of equations the new physics has to give the same answers but by different equations. ...37 KB (6,240 words) - 13:31, 8 February 2025