On a New Modification of Homotopy Analysis Method for Solving Nonlinear Nonhomogeneous Differential Equations

Authors

  • Shaheed N. Huseen University of Thi-Qar, Faculty of Computer Science and Mathematics, Mathematics Department, Thi-Qar
  • Haider A. Mkharrib 𝐌𝐤𝐡𝐚𝐫𝐫𝐢𝐛

DOI:

https://doi.org/10.24203/ajfam.v6i2.5510

Keywords:

Modified homotopy analysis method, Taylor Series, Nonhomogeneous differential equations

Abstract

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.

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Published

2018-10-19

How to Cite

Huseen, S. N., & Mkharrib, H. A. (2018). On a New Modification of Homotopy Analysis Method for Solving Nonlinear Nonhomogeneous Differential Equations. Asian Journal of Fuzzy and Applied Mathematics, 6(2). https://doi.org/10.24203/ajfam.v6i2.5510