%0 Journal Article
%T On a New Modification of Homotopy Analysis Method for Solving Nonlinear Nonhomogeneous Differential Equations
%A Haider A. Mkharrib
%A Shaheed N. Huseen
%J Asian Journal of Fuzzy and Applied Mathematics
%D 2018
%R 10.24203/ajfam.v6i2.5510
%X In this paper, new powerful modification of homotopy analysis technique (NMHAM) was submitted to create an approximate solution of nonhomogeneous nonlinear ordinary and partial differential equations. The NMHAM is a combination of the new technique of homotopy analysis method(NHAM) [4] and the new technique of homotopy analysis method(nHAM) [7].Three illustrative examples are employed to illustrate the accuracy and computational proficiency of this approach. The outcomes uncover that the NMHAM is more accurate than the NHAM and nHAM
%K [Modified homotopy analysis method
%K Taylor Series
%K Nonhomogeneous differential equations]
%U https://www.ajouronline.com/index.php/AJFAM/article/view/5510