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2 votes
0 answers
851 views

Problem using finite difference to solve a initial value problem

I tried to use 'finite difference' method to solve an Initial Value Problem (IVP). For the two boundaries I used periodical condition and for the differential operators I used 4th degree center approx …
2 votes
1 answer
105 views

Is is preferable to use a difference formula of higher order of accuracy for spatial derivat...

I want to numerically integrate the equation $\partial_t u= a(t) \partial_xu+b\partial_{xxx}u+c$ to get $u(t)$. Is is preferable to use a difference formula of higher order of accuracy for spatial der …