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rbmatlab 0.10.01
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This is the first function from http://eqworld.ipmnet.ru/en/solutions/npde/npde1201.pdf. More...
Go to the source code of this file.
Functions | |
| function res = | exact_function_plaplace ( glob, params) |
| This is the first function from http://eqworld.ipmnet.ru/en/solutions/npde/npde1201.pdf. | |
This is the first function from http://eqworld.ipmnet.ru/en/solutions/npde/npde1201.pdf.
Definition in file exact_function_plaplace.m.
| function res = exact_function_plaplace | ( | glob, | |
| params | |||
| ) |
This is the first function from http://eqworld.ipmnet.ru/en/solutions/npde/npde1201.pdf.
This implements the function
![\[ u(x,y,t) = \left( -\frac{\lambda p}{m} x - \frac{\lambda^2}{m} t + A \right)^{\frac{1}{p}} \]](form_267.png)
solving the PDE
![\[ \partial_t u = - \partial_x \left( u^p \partial_x u \right) \]](form_268.png)
where [x,y] is given by glob, and the function parameters are read from params. We use this function for an EOC test of our newton_model().
| glob | global coordinate vectors |
| params | parameter specifying the function |
| res | res |
t — time instance at which the spatial solution is computedplaplace_A — scalar specifying constant 
(Default = 1.0) plaplace_lambda — scalar specifying constant 
(Default = 0.8) diff_p — scalar specifying the exponent constant p (Default = 0.5) diff_m — scalar specifying the constant m (Default = 1.0) Definition at line 1 of file exact_function_plaplace.m.
1.7.4