In this tutorial, I demonstrate how to solve boundary value differential equations using the Finite Difference Method in Python. Learn step-by-step how to implement this numerical technique, ...
SIAM Journal on Numerical Analysis, Vol. 49, No. 1/2 (2011), pp. 845-868 (24 pages) We bound the difference between the solution to the continuous Rudin—Osher—Fatemi (ROF) image smoothing model and ...
In this paper we consider a class of singular two-point boundary value problem: (xαu')' = f(x, u), u(0) = A, u(1) = B, 0 < α < 1. The asymptotic expression of the spline finite difference solution for ...