Multiple Solutions of Problems in Fluid Mechanics by Predictor Optimal Homotopy Asymptotic Method

被引：5

作者：

Alomari, A. K. ^{[1
]}

Anakira, N. Ratib ^{[2
]}

Hashim, I. ^{[2
,3
]}

机构：

[1] Yarmouk Univ, Fac Sci, Dept Math, Irbid 21163, Jordan

[2] Univ Kebangsaan Malaysia, Ctr Modelling & Data Anal, Sch Math Sci, Bangi 43600, Selangor, Malaysia

[3] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia

来源：

ADVANCES IN MECHANICAL ENGINEERING | 2014年

关键词：

POSITIVE SOLUTIONS; EQUATIONS; FLOWS; CONVECTION;

D O I：

10.1155/2014/372537

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

Anewalgorithmbased on the standard optimal homotopy asymptotic method, namely, the predictor optimal homotopy asymptotic method (POHAM), is proposed to predict the multiplicity of the solutions of nonlinear differential equations with boundary conditions. This approach is successfully implemented to obtain multiple solutions of a mixed convection flow model in a vertical channel and a nonlinear model arising in heat transfer. A new technique for obtaining the initial guess to accelerate the convergence of the series solution is presented.

引用

页数：7

共 50 条

[1] SOLUTION OF BURGERS? EQUATION APPEARS IN FLUID MECHANICS BY MULTISTAGE OPTIMAL HOMOTOPY ASYMPTOTIC METHOD
Wang, Fuzhang
Shah, Niaz Ali
Ahmad, Imtiaz
Ahmad, Hijaz
Alam, Muhammad Kamran
Thounthong, Phatiphat
[J]. THERMAL SCIENCE, 2023, 27 : S87 - S92
[2] SOLUTION OF BURGERS' EQUATION APPEARS IN FLUID MECHANICS BY MULTISTAGE OPTIMAL HOMOTOPY ASYMPTOTIC METHOD
Wang, Fuzhang
Ali Shah, Niaz
Ahmad, Imtiaz
Ahmad, Hijaz
Alam, M. Kamran
Thounthong, Phatiphat
[J]. THERMAL SCIENCE, 2022, 26 (01): : 815 - 821
[3] THE OPTIMAL HOMOTOPY ASYMPTOTIC METHOD FOR INVESTIGATING VIBRATION PROBLEMS
Herisanu, Nicolae
[J]. ROMANIAN JOURNAL OF ACOUSTICS AND VIBRATION, 2016, 13 (02): : 62 - 62
[4] Shooting homotopy analysis method A fast method to find multiple solutions of nonlinear boundary value problems arising in fluid mechanics
Soltani, L. Ahmad
Shivanian, E.
Ezzati, Reza
[J]. ENGINEERING COMPUTATIONS, 2017, 34 (02) : 471 - 498
[5] A New Optimal Homotopy Asymptotic Method for Fractional Optimal Control Problems
Okundalaye, Oluwaseun Olumide
Othman, Wan Ainun Mior
[J]. INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 2021
[6] Optimal Homotopy Asymptotic Method in the Study of Energy Harvesting Problems
Herisanu, Nicolae
Marinca, Vasile
[J]. INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS (ICNAAM-2018), 2019, 2116
[7] Asymptotic Analysis to Two Nonlinear Equations in Fluid Mechanics by Homotopy Renormalisation Method
Guan, Jiang
Kai, Yue
[J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 2016, 71 (09): : 863 - 868
[8] Application of the optimal homotopy asymptotic method to nonlinear Bingham fluid dampers
Marinca, Vasile
Ene, Remus-Daniel
Bereteu, Liviu
[J]. OPEN PHYSICS, 2017, 15 (01): : 620 - 626
[9] An Algorithm: Optimal Homotopy Asymptotic Method for Solutions of Systems of Second-Order Boundary Value Problems
Mufti, Muhammad Rafiq
Qureshi, Muhammad Imran
Alkhalaf, Salem
Iqbal, S.
[J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2017, 2017
[10] Solving Singular Boundary Value Problems by Optimal Homotopy Asymptotic Method
Zuhra, S.
Islam, S.
Idrees, M.
Nawaz, Rashid
Shah, I. A.
Ullah, H.
[J]. INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 2014

← 1 2 3 4 5 →