Search results

{{Short description|Integral transform introduced in 1990}} ...93 |title=Sumudu transform: a new integral transform to solve differential equations and control engineering problems |url=http://www.tandfonline.com/doi/abs/10 ...

{{Short description|An integral transform}} ...journal |last=Aboodh |first=Khalid Suliman |date=2013-04-01 |title=The new integral transform "Aboodh transform" |url=https://go.gale.com/ps/i.do?p=A ...

The '''electric-field integral equation''' is a relationship that allows the calculation of an [[electric Beginning with the [[Maxwell equations]] relating the electric and [[magnetic field]], and assuming a linear, [[wi ...

...charge|charges]] are stationary. The magnetization need not be static; the equations of magnetostatics can be used to predict fast [[Magnetization reversal|magn ===Magnetostatics as a special case of Maxwell's equations=== ...

...r integral operator|singular operators]] into equivalent Fredholm integral equations of the second kind. The latter may be easier to solve analytically and can ...proceeds as follows. First, the boundary value problem is formulated as an integral equation. Written as an operator equation, this will take the form ...

{{short description|Line integral of the fluid velocity around a closed curve}} ...it vector|unit]] normal to the surface. '''Top:''' Circulation is the line integral of {{math|'''v'''}} around a closed loop {{math|''C''}}. Project {{math|''' ...

...nt. The conductance between two of the terminals is controlled by the time integral of the current in the third, rather than its instantaneous value as in the Since the conductance was described as being controlled by the time integral of current as in Chua's theory of the memristor, the memistor of Widrow may ...

[[File:General flux diagram.svg|thumb|300px|Flux '''F''' through a [[surface integral|surface]], d'''S''' is the [[Differential (infinitesimal)|differential]] [[ ==Equations== ...

...n]] and that of an [[electric field]], combining the two in an [[Maxwell's Equations#Auxiliary fields, polarization and magnetization|auxiliary field]]. It play ...ell–Hertz equations, and is sometimes still known as the Maxwell–Heaviside equations; hence, it was probably Heaviside who lent '''D''' the present significance ...

...ral]] of it over a [[surface (mathematics)|surface]] ''S'', followed by an integral over the time duration {{math|''t''₁}} to {{math|''t''<sub>2</su ==Equations for fluids== ...

...produced by a continuous distribution of charge, the summation becomes an integral: ...alled voltage (the units for which are the volt), is defined by the [[line integral]] ...

==Equations== ! scope="col" width="10" | Equations ...

...eing calculated (see [[wikiversity:MyOpenMath/Solutions/Maxwell's integral equations|Wikiversity]]).]] ...rem''', (or sometimes simply called Gauss's theorem) is one of [[Maxwell's equations]]. It relates the distribution of [[electric charge]] to the resulting [[el ...

where, in the case of electrostatics, the integral is performed over the volume of the charged body, the coordinates of points where the integral is over all of space. A general exposition of the Green's function for Pois ...

...ence of the line integral is equivalent to the vector field under the line integral being conservative. A conservative vector field is also irrotational; in th ...ever, in the special case of a conservative vector field, the value of the integral is independent of the path taken, which can be thought of as a large-scale ...

===Maxwell's equations=== {{main|Maxwell's equations}} ...

{{About|magnetization as it appears in Maxwell's equations of classical electrodynamics|a microscopic description of how magnetic mate ...ion for Polarization P and Magnetization M Fully Consistent with Maxwell's Equations ...

{{Short description|Technique to solve differential equations}} ...g/cgi/pt?id=nyp.33433087572909;view=1up;seq=395 A Treatise on Differential Equations], chapters 16 &17: Symbolical methods, link from [[HathiTrust]]</ref> ...

...[Reynolds-averaged Navier–Stokes equations|Reynolds-averaged Navier Stokes equations]], the turbulence kinetic energy can be calculated based on the closure met ...ion or buoyancy, or through external forcing at low-frequency eddy scales (integral scale). Turbulence kinetic energy is then transferred down the turbulence [ ...

...aws became part of the equations that govern electromagnetism, [[Maxwell's equations]]. <blockquote>The line integral of the magnetic field <math>\mathbf{B}(\mathbf{x})\,</math> around any clos ...