Machine Learning, Scientific Method, Numerical Methods, Numerical Analysis, Neural Networks.
Inverse Modeling When X is just a scalar/vector, we call this type of problem parameter inverse problem. We consider a manufactured solution: the exact X is 1 and u(x)=x(1−x), so we have φ(x)=2 Assume we can observe u(0.5)=0.25 and the initial guess for X0​=10. We use finite-difference method to