Difference between revisions of "Template:Differential equations"

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* [[Ordinary differential equation|Ordinary]]
 
* [[Ordinary differential equation|Ordinary]]
 
* [[Partial differential equation|Partial]]
 
* [[Partial differential equation|Partial]]
* [[Differential algebraic equation|Differential-algebraic]]
+
* [[Differential-algebraic system of equations|Differential-algebraic]]
 
* [[Integro-differential equation|Integro-differential]]
 
* [[Integro-differential equation|Integro-differential]]
 
* [[Fractional differential equations|Fractional]]
 
* [[Fractional differential equations|Fractional]]
Line 67: Line 67:
 
* Coupled{{\}}Decoupled
 
* Coupled{{\}}Decoupled
 
* [[Exact differential equation|Exact]]
 
* [[Exact differential equation|Exact]]
* [[Homogeneous differential equations|Homogeneous]]{{\}}[[Non-homogeneous differential equation|Nonhomogeneous]]
+
* [[Homogeneous differential equation|Homogeneous]]{{\}}[[Non-homogeneous differential equation|Nonhomogeneous]]
 
{{endflatlist}}
 
{{endflatlist}}
 
   | heading3 = Features
 
   | heading3 = Features
 
   | content3 =
 
   | content3 =
 
{{startflatlist}}
 
{{startflatlist}}
* [[Differential equation#Ordinary and partial|Degree]]
+
* [[Ordinary differential equation#Definitions|Order]]
* [[Differential equation#Ordinary and partial|Order]]
 
 
* [[Differential operator|Operator]]
 
* [[Differential operator|Operator]]
 
{{endflatlist}}
 
{{endflatlist}}
Line 85: Line 84:
 
{{startflatlist}}
 
{{startflatlist}}
 
* [[Stochastic differential equation|Stochastic]]
 
* [[Stochastic differential equation|Stochastic]]
 +
** [[Stochastic partial differential equation|Stochastic partial]]
 
* [[Delay differential equation|Delay]]
 
* [[Delay differential equation|Delay]]
 
{{endflatlist}}
 
{{endflatlist}}
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<!---------------------------- Solution ----------------------------->
 
<!---------------------------- Solution ----------------------------->
 
| heading5 = Solution
 
| heading5 = Solution
 +
 +
| list5name = existence and uniqueness
 +
| list5title = Existence and uniqueness
 +
| list5 =
 +
* [[Picard–Lindelöf theorem|Picard–Lindelöf theorem <!--{{smaller|(existence/uniqueness)}}-->]]
 +
* [[Peano existence theorem]]
 +
* [[Carathéodory's existence theorem]]
 +
* [[Cauchy–Kowalevski theorem]]
  
 
| list6name = solution
 
| list6name = solution
 
| list6title = General topics
 
| list6title = General topics
| list6 = {{startflatlist}}
+
| list6 =
* [[Picard–Lindelöf theorem|Picard–Lindelöf theorem <!--{{smaller|(existence/uniqueness)}}-->]]
 
 
* [[Wronskian]]
 
* [[Wronskian]]
{{endflatlist}}{{startflatlist}}
 
 
* [[Phase portrait]]
 
* [[Phase portrait]]
 
* [[Phase space]]
 
* [[Phase space]]
{{endflatlist}}
 
 
* [[Lyapunov stability|Lyapunov]]{{\}}[[Asymptotic stability|Asymptotic]]{{\}}[[Exponential stability]]
 
* [[Lyapunov stability|Lyapunov]]{{\}}[[Asymptotic stability|Asymptotic]]{{\}}[[Exponential stability]]
 
* [[Rate of convergence]]
 
* [[Rate of convergence]]
 
* {{nowrap|[[Power series solution of differential equations|Series]]{{\}}Integral solutions}}
 
* {{nowrap|[[Power series solution of differential equations|Series]]{{\}}Integral solutions}}
{{startflatlist}}
 
 
* [[Numerical integration]]
 
* [[Numerical integration]]
 
* [[Dirac delta function]]
 
* [[Dirac delta function]]
{{endflatlist}}
 
  
 
| list7name = solution methods
 
| list7name = solution methods
| list7title = [[List of solution strategies for differential equations|Solution methods]]
+
| list7title = Solution methods
 
| list7 = {{startflatlist}}
 
| list7 = {{startflatlist}}
 
* Inspection
 
* Inspection
 
* <!--(Char)-->[[Method of characteristics]]
 
* <!--(Char)-->[[Method of characteristics]]
* <br/>[[Euler method|Euler]]
+
* <br>[[Euler method|Euler]]
 +
* [[Exponential response formula]]
 
* [[Finite difference method|Finite difference]]&nbsp;{{smaller|([[Crank–Nicolson method|Crank–Nicolson]])}}
 
* [[Finite difference method|Finite difference]]&nbsp;{{smaller|([[Crank–Nicolson method|Crank–Nicolson]])}}
 
* [[Finite element method|Finite element]]
 
* [[Finite element method|Finite element]]
 +
** [[Infinite element method|Infinite element]]
 
* [[Finite volume method|Finite volume]]
 
* [[Finite volume method|Finite volume]]
 
* [[Galerkin method|Galerkin]]
 
* [[Galerkin method|Galerkin]]
 +
** [[Petrov–Galerkin method|Petrov–Galerkin]]
 
* [[Integrating factor]]
 
* [[Integrating factor]]
 
* [[Integral transform]]s
 
* [[Integral transform]]s
Line 126: Line 132:
 
* [[Separation of variables]]
 
* [[Separation of variables]]
 
* [[Method of undetermined coefficients|Undetermined coefficients]]
 
* [[Method of undetermined coefficients|Undetermined coefficients]]
 +
* [[Variation of parameters]]
  
  
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| list8name = people
 
| list8name = people
 
| list8title = <div class="navbox-abovebelow" style="font-size:105%;padding:0.1em 0.2em;">People</div>
 
| list8title = <div class="navbox-abovebelow" style="font-size:105%;padding:0.1em 0.2em;">People</div>
| list8 = {{startflatlist|padding-top:0.5em}}
+
| list8 = {{startflatlist |style=padding-top:0.5em}}
 
* [[Isaac Newton]]
 
* [[Isaac Newton]]
 +
* [[Gottfried Leibniz]]
 
* [[Leonhard Euler]]
 
* [[Leonhard Euler]]
 
* [[Émile Picard]]
 
* [[Émile Picard]]
Line 142: Line 150:
 
* [[Phyllis Nicolson]]
 
* [[Phyllis Nicolson]]
 
* [[Carl David Tolmé Runge]]
 
* [[Carl David Tolmé Runge]]
* [[Martin Wilhelm Kutta]]
+
* [[Martin Kutta]]
 
{{endflatlist}}
 
{{endflatlist}}
  
 
}}</includeonly><noinclude>{{Documentation}}</noinclude>
 
}}</includeonly><noinclude>{{Documentation}}</noinclude>

Latest revision as of 08:26, 20 December 2020

Template documentation[view] [edit] [history] [purge]

This template includes collapsible lists.

  • To set it to display all lists when it appears (i.e. all lists expanded), use:
  •  {{Differential equations |expanded=all}} or, if enabled, {{Differential equations |all}}  (i.e. omitting "expanded=").
  • To set it to display one particular list while keeping the remainder collapsed (i.e. hidden apart from their headings), use:
  •  {{Differential equations |expanded=listname}} or, if enabled, {{Differential equations |listname}}
  • …where listname is one of the following (do not include any quotemarks):
  • scope, types, processes, solution, "solution methods", people
  • For example, {{Differential equations |expanded=solution methods}} or, if enabled, {{Differential equations |solution methods}}