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The final two contributions present packages for Maple and Mathematica utilizing HAM for periodic oscillations and nonlinear boundary value problems, respectively.
The aim of this paper is to introduce a new method for the numerical solution of the following class of singular boundary value problems
In practice, SODEs are frequently treated as either initial value problems (IVPs) or boundary value problems (BVPs).
Keywords: Difference equation, nonlocal, boundary value problem.
After this, there is a large number of works in which the method has been developed for different boundary value problems, thus first, second and higher order ordinary differential equations with different type of boundary conditions as, among others, the periodic, mixed, Dirichlet or Neumann conditions, and partial differential equations of first and second order, have been treated in the literature.
In this paper, we consider the existence of multiple positive solutions for the following 2n-th order m-point boundary value problems:
We study the stability of positive solution to the boundary value problem
s)] reproduce the boundary values assumed in their derivation ([partial derivative][u.