The Combined Laplace-homotopy Analysis Method for Partial Differential Equations

J. Vahidi
2017 Journal of Mathematics and Computer Science  
In this paper, the Laplace transform homotopy analysis method (LHAM) is employed to obtain approximate analytical solutions of the linear and nonlinear differential equations. This method is a combined form of the Laplace transform method and the homotopy analysis method. The proposed scheme finds the solutions without any discretization or restrictive assumptions and is free from round-off errors and therefore, reduces the numerical computations to a great extent. Some illustrative examples
more » ... trative examples are presented and the numerical results show that the solutions of the LHAM are in good agreement with those obtained by exact solution.
doi:10.22436/jmcs.016.01.10 fatcat:wic5cn3kbbbtdd2hi2ebdjtrdq