Laplace transform for the solution of higher order deformation equations arising in the homotopy analysis method

@article{Liang2013LaplaceTF,
  title={Laplace transform for the solution of higher order deformation equations arising in the homotopy analysis method},
  author={Songxin Liang and Junchi Ma},
  journal={Numerical Algorithms},
  year={2013},
  volume={67},
  pages={49-57}
}
A new analytic approach for solving nonlinear ordinary differential equations with initial conditions is proposed. First, the homotopy analysis method is used to transform a nonlinear differential equation into a system of linear differential equations; then, the Laplace transform method is applied to solve the resulting linear initial value problems… CONTINUE READING