Difference between revisions of "Template:Differential equations"

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imported>Maschen
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imported>Chongkian
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{{sidebar with collapsible lists
+
<includeonly>{{Sidebar with collapsible lists
| expanded  = {{{cTopic}}}
+
| name = Differential equations
| name      = Differential equations
+
| bodyclass = plainlist
| title     = [[Differential equation]]s
+
| titleclass = navbox-title
| bodyclass = hlist
+
| titlestyle = display:block;margin-bottom:0.2em;
| image     = [[File:De template.svg|frameless]]
+
| title = [[Differential equation]]s
 +
| image = [[File:Navier_Stokes_Laminar.svg|235px|Navier–Stokes differential equations used to simulate airflow around an obstruction]]
 +
| captionstyle = padding-bottom:0.25em;
 +
| caption = [[Navier–Stokes equations|Navier–Stokes differential equations]] used to simulate airflow around an obstruction.
 +
| headingclass = navbox-abovebelow
 +
| headingstyle = font-size:105%;display:block;margin-bottom:0.4em;
 +
| listtitlestyle = text-align:center;padding-bottom:0;
 +
| liststyle = padding-top:0;
 +
| expanded = {{{expanded|{{{selected|{{{1|{{{cTopic|}}}}}}}}}}}}
  
| list1name  = Scope
 
| list1title = ''Scope''
 
| list1      =
 
 
'''[[Natural science]]s and [[engineering]]'''
 
  
 +
<!----------------------------- Scope ------------------------------->
 +
| list1name = scope
 +
| list1title = <div class="navbox-abovebelow" style="font-size:105%;padding:0;padding-bottom:0.1em;">Scope</div>
 +
| list1 =
 +
{{Sidebar |bodystyle={{subsidebar bodystyle}} |navbar=off
 +
  |headingstyle=padding-bottom:0;
 +
  |contentclass=hlist |contentstyle=padding-bottom:0.6em;
 +
  | heading1 = {{hlist|[[Natural science]]s|[[Engineering]]}}
 +
  | content1 =
 
* [[Astronomy]]
 
* [[Astronomy]]
 
* [[Physics]]
 
* [[Physics]]
 
* [[Chemistry]]
 
* [[Chemistry]]
* [[Biology]]
+
* <br/>[[Biology]]
 
* [[Geology]]
 
* [[Geology]]
 
+
  | heading2 = [[Applied mathematics]]
'''[[Applied maths]]'''
+
  | content2 =
 
* [[Continuum mechanics]]
 
* [[Continuum mechanics]]
 
* [[Chaos theory]]
 
* [[Chaos theory]]
 
* [[Dynamical systems]]
 
* [[Dynamical systems]]
 
+
  | heading3 = [[Social science]]s
'''[[Social science]]s'''
+
  | content3 =
 
* [[Economics]]
 
* [[Economics]]
 
* [[Population dynamics]]
 
* [[Population dynamics]]
 +
  |content3style=padding-bottom:0;
 +
}}
  
 +
 +
<!------------------------ Classification --------------------------->
 +
| heading2style = display:block;margin-top:0.1em;
 
| heading2 = Classification
 
| heading2 = Classification
  
| list3name = Operations
+
| list3name = types
| list3title = Operations
+
| list3title = Types
| list3     =  
+
| list3 =
* [[Differential operator]]
+
{{Sidebar |bodystyle={{subsidebar bodystyle}} |navbar=off
* [[Notation for differentiation]]
+
  | content1 = {{startflatlist}}
 
* [[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]]
 
* [[Linear differential equation|Linear]]
 
* [[Linear differential equation|Linear]]
 
* [[Non-linear differential equation|Non-linear]]
 
* [[Non-linear differential equation|Non-linear]]
 
+
{{endflatlist}}
| list4name  = Attributes of variables
+
  | heading2 = By variable type
| list4title = Attributes of variables
+
  | content2 =
| list4      =  
 
 
* [[Dependent and independent variables]]
 
* [[Dependent and independent variables]]
* [[Homogeneous differential equations|Homogeneous]]
+
{{startflatlist}}
* [[Non-homogeneous differential equation|Nonhomogeneous]]
 
* [[Differential equation|Coupled]]
 
* [[Differential equation|Decoupled]]
 
* [[Differential equation|Order]]
 
* [[Differential equation|Degree]]
 
 
* [[Autonomous differential equation|Autonomous]]
 
* [[Autonomous differential equation|Autonomous]]
* [[Exact differential equation]]
+
* [[Complex differential equation|Complex]]
* [[Complex differential equation]]
+
* Coupled{{\}}Decoupled
 +
* [[Exact differential equation|Exact]]
 +
* [[Homogeneous differential equation|Homogeneous]]{{\}}[[Non-homogeneous differential equation|Nonhomogeneous]]
 +
{{endflatlist}}
 +
  | heading3 = Features
 +
  | content3 =
 +
{{startflatlist}}
 +
* [[Ordinary differential equation#Definitions|Order]]
 +
* [[Differential operator|Operator]]
 +
{{endflatlist}}
 +
* [[Notation for differentiation|Notation]]
 +
}}
  
| list5name  = Relation to processes
+
| list4name = processes
| list5title = Relation to processes
+
| list4title = Relation to processes
| list5      =  
+
| list4 =
* [[Difference equation|Difference]] (discrete analogue)
+
* [[Difference equation|Difference {{smaller|(discrete analogue)}}]]
* [[Stochastic differential equation|stochastic]]
+
{{startflatlist}}
 +
* [[Stochastic differential equation|Stochastic]]
 +
** [[Stochastic partial differential equation|Stochastic partial]]
 
* [[Delay differential equation|Delay]]
 
* [[Delay differential equation|Delay]]
 +
{{endflatlist}}
  
| heading6 = Solutions
 
  
| list7name  = Solution topics
+
<!---------------------------- Solution ----------------------------->
| list7title = Solution topics
+
| heading5 = Solution
| list7      =  
+
 
* [[Picard–Lindelöf theorem]] (existence and uniqueness)
+
| 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
 +
| list6title = General topics
 +
| list6 =
 
* [[Wronskian]]
 
* [[Wronskian]]
 
* [[Phase portrait]]
 
* [[Phase portrait]]
 
* [[Phase space]]
 
* [[Phase space]]
* [[Lyapunov stability]]
+
* [[Lyapunov stability|Lyapunov]]{{\}}[[Asymptotic stability|Asymptotic]]{{\}}[[Exponential stability]]
* [[Asymptotic stability]]
 
* [[Exponential stability]]
 
 
* [[Rate of convergence]]
 
* [[Rate of convergence]]
* [[Power series solution of differential equations|Series solutions]]
+
* {{nowrap|[[Power series solution of differential equations|Series]]{{\}}Integral solutions}}
* [[Integral]] solutions
 
 
* [[Numerical integration]]
 
* [[Numerical integration]]
* [[Dirac Delta function]]
+
* [[Dirac delta function]]
  
| list8name  = [[List of solution strategies for differential equations|Solution methods]]
+
| list7name = solution methods
| list8title = [[List of solution strategies for differential equations|Solution methods]]
+
| list7title = Solution methods
| list8      =  
+
| list7 = {{startflatlist}}
 
* Inspection
 
* Inspection
* [[Separation of variables]]
+
* <!--(Char)-->[[Method of characteristics]]
* [[Method of undetermined coefficients]]
+
* <br>[[Euler method|Euler]]
 +
* [[Exponential response formula]]
 +
* [[Finite difference method|Finite difference]]&nbsp;{{smaller|([[Crank–Nicolson method|Crank–Nicolson]])}}
 +
* [[Finite element method|Finite element]]
 +
** [[Infinite element method|Infinite element]]
 +
* [[Finite volume method|Finite volume]]
 +
* [[Galerkin method|Galerkin]]
 +
** [[Petrov–Galerkin method|Petrov–Galerkin]]
 
* [[Integrating factor]]
 
* [[Integrating factor]]
 
* [[Integral transform]]s
 
* [[Integral transform]]s
* [[Euler method]]
 
* [[Finite difference method]]
 
* {{small|[[Crank–Nicolson method]]}}
 
* {{small|[[Runge–Kutta methods]]}}
 
* [[Finite element analysis]]
 
* [[Galerkin method]]
 
 
* [[Perturbation theory]]
 
* [[Perturbation theory]]
 +
* [[Runge–Kutta methods|Runge–Kutta]]
 +
{{endflatlist}}
 +
* [[Separation of variables]]
 +
* [[Method of undetermined coefficients|Undetermined coefficients]]
 +
* [[Variation of parameters]]
  
| list9name  = Mathematicians
 
| list9title = Mathematicians
 
| list9      =
 
  
 +
<!---------------------------- People ------------------------------->
 +
| list8name = people
 +
| list8title = <div class="navbox-abovebelow" style="font-size:105%;padding:0.1em 0.2em;">People</div>
 +
| list8 = {{startflatlist |style=padding-top:0.5em}}
 
* [[Isaac Newton]]
 
* [[Isaac Newton]]
 +
* [[Gottfried Leibniz]]
 
* [[Leonhard Euler]]
 
* [[Leonhard Euler]]
* [[Charles Émile Picard]]
+
* [[Émile Picard]]
 
* [[Józef Maria Hoene-Wroński]]
 
* [[Józef Maria Hoene-Wroński]]
 
* [[Ernst Lindelöf]]
 
* [[Ernst Lindelöf]]
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* [[Phyllis Nicolson]]
 
* [[Phyllis Nicolson]]
 
* [[Carl David Tolmé Runge]]
 
* [[Carl David Tolmé Runge]]
* [[Martin Wilhelm Kutta]]
+
* [[Martin Kutta]]
 +
{{endflatlist}}
  
}}<noinclude>{{doc}}</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}}