Search results

Create the page "Differential equation" on this wiki! See also the search results found.

Page title matches

• Ordinary differential equation
  ...e motion in the Euclidean space. It is given by an ''ordinary differential equation'' (ODE):
  322 bytes (58 words) - 18:41, 23 November 2012
• Ordinary differential equation: course
  #REDIRECT [[Differential equations: course]]
  44 bytes (4 words) - 00:55, 25 December 2010

Page text matches

• Differential equations
  ==Discrete models: how to set up differential equations== Below, we produce discrete models and then differential equations from verbal descriptions.
  64 KB (11,426 words) - 14:21, 24 November 2018
• Modeling with discrete exterior calculus
  ...odel such a simple thing as a circular wave... We will be using [[discrete differential forms]] to model elementary [[ODEs]] and [[PDEs]] in dimensions 1 and 2 wit ...emaining as general as possible, we utilize discrete exterior calculus and differential forms. Our main conclusion is that the isotropy of heat on a grid is heavil
  31 KB (5,254 words) - 17:57, 21 July 2012
• Calculus exercises: part IV
  ...let$ Verify that the function $y=cx^{2}$ is a solution of the differential equation: ...let$ Verify that the function $y=cx^{2}$ is a solution of the differential equation:
  13 KB (2,128 words) - 02:28, 5 September 2017
• Partial differential equations
  The result of the substitution is the following equation: ==The heat equation with respect to difference quotients==
  53 KB (9,682 words) - 23:19, 18 November 2018
• Applications of differential calculus
  ...als of degree below $5$). What about a ''numerical solution''? Solving the equation numerically means finding a sequence of numbers $d_n$ such that $d_n\to c$ ...Intermediate Value Theorem}--> as an iterated search for a solution of the equation $f(x)=0$. We constructed a sequence of nested intervals<!--\index{nested in
  59 KB (10,063 words) - 04:59, 21 February 2019
• Calculus I, the discrete version
  '''Definition.''' The ''standard differential'', denoted by $dx$, is the edge function equal to $h$ on every edge, i.e., We can use the standard differential to construct an edge function from any node function by simple multiplicati
  64 KB (11,521 words) - 19:48, 22 June 2017
• Differential equations: exercises
  *Verify that $-2x^{2}y+y^{2}=1$ is an implicit solution of the differential equation $2xy+(x^2-y)\frac{dy}{dx}=0$. Find one explicit solution. ...ich material is forgotten is proportional to $A(t)$. Set up a differential equation for $A(t)$.
  6 KB (988 words) - 18:05, 29 December 2016
• Test
  #A modern view of calculus: [[Why do we need differential forms?|differential forms]] ===Continuous differential forms===
  16 KB (2,139 words) - 23:01, 9 February 2015
• Applied Topology and Geometry
  #A modern view of calculus: [[Why do we need differential forms?|differential forms]] ===Continuous differential forms===
  16 KB (2,088 words) - 16:37, 29 November 2014
• Differentiation
  ...the intermediate variable, whether it is the difference $\Delta x$ or the differential $dx$, is “cancelled”: ...' $dx$ and $dy$ as two new variables -- related to each other by the above equation?
  82 KB (14,116 words) - 19:50, 6 December 2018
• PDEs
  ...s, $d_x$, to be taken into account. The result is a ''partial differential equation'' (PDE). ...esult of the substitution is a PDE of second degree called the ''diffusion equation'' of forms:
  44 KB (7,469 words) - 18:12, 30 November 2015
• Diffusion
  Below we derive a PDE for discrete differential forms. Then, we will gradually develop a broad approach to the problem, whi ...esult of the substitution is a PDE of second degree called the ''diffusion equation'' of forms:
  39 KB (6,850 words) - 15:29, 17 July 2015
• Diffusion equation
  Just as advection, heat transfer<!--\index{heat equation}--> exhibits a dispersal pattern. We can see, however, that without a flow ...s, $d_x$, to be taken into account. The result is a ''partial differential equation'' (PDE).
  35 KB (5,917 words) - 12:51, 30 June 2016
• ODEs
  We start with a few simple ''ordinary differential equations (ODEs)'' with respect to the exterior derivative $d$ that have ex This equation has a solution, i.e., a $0$-form that satisfies the equation everywhere, if and only if $G$ is exact. In that case,
  47 KB (8,415 words) - 15:46, 1 December 2015
• Discrete Calculus. An Introduction
  ...ext is ''discrete'' calculus. In particular, this is about the calculus of differential forms. The ''continuous'' counterpart is developed first because, typically Introduction: [[Why do we need differential forms?]]
  4 KB (466 words) - 19:07, 8 July 2014
• Several variables
  Thus, the ''general solution'' of this system of differential equations is: ...rivatives are equal to $0$. To find the location of the ridge we solve the equation
  76 KB (13,017 words) - 20:26, 23 February 2019
• Differential equations: course
  This is a one-semester course in differential equations and applications. model -> derivation of the DE -> analysis -> discretization -> [[difference equation]] ->
  2 KB (231 words) - 21:57, 2 November 2011
• Stability Analysis
  ...We prove that, in-general, for the scheme that we have given for the WAVE-EQUATION ON A SQUARE GRID, the scheme will be STABLE if ...on for the wave-height (note that this is simply a discrete time-dependent differential two-form on our cell-complex of squares). We argue via the discretized cas
  12 KB (2,051 words) - 03:51, 11 August 2012
• Calculus Illustrated
  ...ube channel]. The channel also shows some physics simulations for Volume 5 Differential Equations. More recent lectures are here: [https://www.dropbox.com/sh/kv370 ==Volume 2: Differential Calculus==
  16 KB (1,933 words) - 19:50, 28 June 2021
• Links
  *Integration of differential forms #[[Integration of differential forms of degree 0 and 1]]
  6 KB (998 words) - 12:40, 31 August 2015

View (previous 20 | next 20) (20 | 50 | 100 | 250 | 500)