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initial condition $u(x, ) = $ for $x \leq $, $u(x, )= $ for $x \geq $ and $u(x, ) = \sqrt{ -x}$ for $ ,$ to be solved in the unit square $ \leq x,y \leq ,$ with $t > $. assume the initial data $$u(x,y, ) = \phi(x,y) $$ is ... pde finite-difference-methods asked dec ' at : mike d silver badge bronze badges
characteristics) i have tried to solve the following pde using the method of characteristics: $$ \begin{cases} u_x+u_y= \\ u(x,x)= \end{cases} $$ my solution: let the curve $(x(y),y)$ that verifies the differential ... pde characteristics transport-equation asked dec ' at : anas boualii silver badge bronze badges...
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