What Jacobians does bvp4c evaluate?

조회 수: 1(최근 30일)
Evan Hemingway
Evan Hemingway 2020년 2월 13일
I am trying to debug my "singular Jacobian" issues with bvp4c. The question that I have is: which Jacobians are being evaluated? We have the nonlinear system of ODE's y' = f(x,y). I assume that the derivatives of f_i with respect to y_j are put into a matrix and evaluated at some values of y. Maybe this matrix should be invertible for the bvp4c algorithm, although I have found the algorithm to converge when this is not the case.
What about the residuals for the boundary conditions g(ya,yb) = 0? I assume the derivative of g_i with respect to ya_j are taken. This gives a matrix. Also, the derivative of g_i with respect to yb_j are taken. This also gives a matrix. Does bvp4c also evaluate these Jacobians? If so, then they would always be singular if any of the g_i's don't contain a ya or a yb.
Can someone point me to some theory that will illuminate the singular Jacobian error? Thank you.

답변(0개)

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by