Partial differential equation (English)
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Definition (undergraduate level)
An equation which gives a relationship between a function f and some or all of its partial derivatives. (f must be a function of at least two variables.) In general a p.d.e. can be written: F(x,y,f,fx,fy,fxx,fxy,fyy,...)=0.
Relations
- broader:
- (en) Differential equation
- narrower:
- (en) Diffusion equation
- (en) Linear partial differential equation
- (en) Poisson's equation
- (en) Wave equation
- references:
- (en) Partial derivative
- referenced:
- (en) Error function
- (en) pde
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