Title of article :
On solving Bratu’s type equation by perturbation method
Author/Authors :
Salem, Safaa Ali College of Computer Science and Mathematics - University of Mosul, Mosul, Iraq , Younis Thanoon, Thair College of Computer Science and Mathematics - University of Mosul, Mosul, Iraq
Abstract :
In this paper, the perturbation method is employed to obtain an approximate solution of some examples of the Bratu equation by choosing the different values of ε and comparison with the exact solutions. It can be seen that the perturbation method is an alternative technique to be considered in solving many practical problems involving differential equations.
Keywords :
Non-linear differential equation , Perturbation method , Bratu's type equation , Approximate solution
Journal title :
International Journal of Nonlinear Analysis and Applications