The Homotopy Perturbation Method for Solving Some Types of Nonlocal Problems with Some Real Life Applications
Keywords:
homotopy perturbation method, parabolic integro-differential equations, nonlocal condition, diffusion equation, nonlocal problemAbstract
In this paper, we use the homotopy perturbation method for finding the solutions of the nonlocal
problems that consist of the one-dimensional heat equation together with nonlocal conditions and
the nonlocal problems that consist of the parabolic linear integro-differential equations together
with nonlocal conditions. Also, some numerical examples are presented to explain the efficiency of
this method. Moreover, some real life applications for the nonlocal problems are solved via this
method.