We propose a new method to solve the boundary value problem for a class of second order linear ordinary differential equations, which has a non-negative solution. The method applies the maximum entropy principle to approximating the solution numerically. The theoretical analysis and numerical examples show that our method is convergent.
Journal for Mathematical Physics
(2018). A Maximum Entropy Method for Solving the Boundary Value Problem of Second Order Ordinary Differential Equations. Journal for Mathematical Physics, 59(10).
Available at: https://aquila.usm.edu/fac_pubs/15561