How To Solve Quasi Linear Pde. In general any linear combination of solutions c 1u 1(x;y) + c 2u 2(x;y) + + c nu n(x;y) = xn i=1 c iu i(x;y) will also solve the equation. Methods of solving partial differential equations 9.

2 solution define a curve in the x,y,u space as follows Numerical methods for solving pdes numerical methods for solving different types of pde's reflect the different character of the problems. Theorem the general solution to the transport equation ∂u ∂t +v ∂u ∂x = 0 is given by u(x,t) = f(x −vt), where f is any differentiable function of one variable.