Fill out the form below to set up a numeric solution
to your partial differential equation with boundary values.
Up to second order in two dimensions.

Title

Email results, numeric and plot

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Finite Element Method
Discrete approximation method

Uxx denotes d^2 U(x,y)/dx^2 Uxy denotes d^2 U(x,y)/dx dy
Ux denotes d U(x,y)/dx etc. enter your values of cxx, cxy, etc.

cxx Uxx + cxy Uxy + cyy Uyy + cx Ux + cy Uy + c U = f(x,y)

cxx cxy cyy

cx cy c


ub(x,y)=

ub(x,y) = boundary equation in x,y
must be valid for all y in range when x=xmax or x=xmin
must be valid for all x in range when y=ymin or y=ymax
must be legal "C" or Java, or Python, etc.

x, y, Dirichlet_boundary_value (each line)

An optional method to define the boundary is to upload a file
with a sequence of x,y,boundary_value lines that enclose the boundary
step hx=(xmax-xmin)/(nx-1), hy=(ymax-ymin)/(ny-1)

f(x,y)=

f(x,y) = right hand side equation in x,y
must be legal "C" or Java, or Python, etc.

Solution range and number of points

xmin xmax nx

ymin ymax ny