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Questions on the analytic and numerical equation solving functions of Mathematica (Solve, Reduce, NSolve, FindRoot, DSolve, RSolve, etc.).

1
vote
0answers
Consider these code, which solve the same equation using DSolve and NDSolve, why do they give different answer? Which one is correct? I'm using version 9.01 on Mac. sol1 = DSolve[ Thread[D[{y1[t], …
asked Nov 25 '13 by xslittlegrass
45
votes
5answers
I'm trying to get the eigenvalues of a one dimensional time-independent Schrödinger equation, $-\frac{h^2}{2m_0}\frac{d^2\psi}{dx^2}+U(x)~\psi=Ei~\psi$ where U(x) is some potential and Ei is the eig …
asked Sep 13 '13 by xslittlegrass
5
votes
1answer
I'm trying to find the roots of the equation as a variable of k: a = 0.81; b = 1.94; LegendreP[(-a + Sqrt[8 b + a^2])/(2 a), k/a, 1] == 0 The problem is that this function is almost divergent ever …
asked Sep 30 '13 by xslittlegrass
16
votes
2answers
Problem introduced in 11.0.1 and persisting through 11.3 Mathematica version 11 introduces PeriodicBoundaryCondition which is very useful in solving periodic PDE systems. I'm considering using it to …
asked Aug 24 '16 by xslittlegrass