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Handbook of Linear Partial Differential Equations for Engineers and Scientists, 2nd Edition
book

Handbook of Linear Partial Differential Equations for Engineers and Scientists, 2nd Edition

by Andrei D. Polyanin, Vladimir E. Nazaikinskii
December 2015
Intermediate to advanced content levelIntermediate to advanced
1643 pages
59h 33m
English
Chapman and Hall/CRC
Content preview from Handbook of Linear Partial Differential Equations for Engineers and Scientists, 2nd Edition
23.4. Numerical Solutions and Their Visualizations 1357
Now we schematically write out the numerical solution
sol
with the aid of
NDSolve
and
then use it to obtain various visualizations (e.g.,
Plot
,
Plot3D
,
Animate
) and numerical
values (
numVals
).
sol=NDSolve[{PDE,IC,BC},u,{x,x1,x2},{t,t1,t2},ops]
Plot[Evaluate[u[x,tk]/.sol],{x,x1,x2},ops]
numVals=Evaluate[u[xk,tk]/.sol]
Plot3D[Evaluate[u[x,t]/.sol],{x,x1,x2},{t,t1,t2},ops]
Animate[Plot[Evaluate[u[x,t]/.sol],{x,x1,x2},ops],{t,t1,t2},ops]
Example 23.26. Line ar wave equation. Initial-boundary value prob le m. Numerical, graphical,
and exact solu tions. We find numerical, graphical, and exact solutions of the ...
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Publisher Resources

ISBN: 9781466581494