Multistage Optimal Homotopy Asymptotic Method for the Nonlinear Riccati Ordinary Differential Equation in Nonlinear Physics

Authors

Niaz Ali Shah, Department of Mathematics, University of Swabi, Swabi, Khyber Pakhtunkhwa, PakistanFollow
Imtiaz Ahmad, Department of Mathematics, University of Swabi, Swabi, Khyber Pakhtunkhwa, PakistanFollow
Omar Bazighifan, Department of Mathematics, Faculty of Science, Hadhramout University, Hadhramout, Yemen\\Department of Mathematics, Faculty of Education, Seiyun University, Hadhramout, YemenFollow
Ahmed E. Abouelregal, Department of Mathematics, College of Science and Arts, Jouf University, Al-Qurayyat, Saudi Arabia\\ Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, EgyptFollow
Hijaz Ahmad, Department of Basic Sciences, University of Engineering and Technology, Peshawar 25000, PakistanFollow

Author Country (or Countries)

Pakistan

Abstract

The present paper addresses the approximate analytical solution of the nonlinear Riccati differential equations using the Multistage homotopy asymptotic method which is used in nonlinear physics. The suggested algorithm is accurate, effective and simple to utilize semi-analytic tool for nonlinear problems. To test accuracy of the recommended algorithm serval test problems are considered and the obtained results are compared with those of the recent literature. These results revealed accuracy and efficiency of the suggested method.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/140608

Recommended Citation

Ali Shah, Niaz; Ahmad, Imtiaz; Bazighifan, Omar; E. Abouelregal, Ahmed; and Ahmad, Hijaz (2020) "Multistage Optimal Homotopy Asymptotic Method for the Nonlinear Riccati Ordinary Differential Equation in Nonlinear Physics," Applied Mathematics & Information Sciences: Vol. 14: Iss. 6, Article 8.
DOI: http://dx.doi.org/10.18576/amis/140608
Available at: https://digitalcommons.aaru.edu.jo/amis/vol14/iss6/8