2nd order ode on a non-rectangular region

Question

Alex Belyakov 2016-12-27

0
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https://ww2.mathworks.cn/matlabcentral/answers/318300-2nd-order-ode-on-a-non-rectangular-region

回答： Sharmila Raghu 2016-12-30

Hi. I have a 2nd order pde r*f(x,t)=a1*x*df/dx + a2*x^2*d^2f/dx^2 + (x-c)df/dt (everything other than x and t are parameters), and I know the value of the function f f(x0,t) for each t in [t1, t2] and x0 given, and also f(g(t), t) for each value t in [t1, t2] (g is a given function). I need to solve for the value of the function for t in [t1, t2] and for x < g(t). Is there any embedded matlab tool that I can use to solve this? I wanted to use pedpe, but this one requires rectangular region. Any ideas on other ways to solve this? Thanks a lot!