Approximate Solution of Nonlinear System of BVP Arising in Fluid Flow Problem

被引：13

作者：

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

Anakira, N. Ratib ^{[2
]}

Bataineh, A. Sami ^{[3
]}

Hashim, I. ^{[2
]}

机构：

[1] Hashemite Univ, Fac Sci, Dept Math, Zarqa 13115, Jordan

[2] Univ Kebangsaan Malaysia, Sch Math Sci, Bangi 43600, Selangor, Malaysia

[3] Al Balqa Appl Univ, Fac Sci, Dept Math, Salt 19117, Jordan

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2013年 / 2013卷

关键词：

HOMOTOPY ASYMPTOTIC METHOD; EQUATIONS;

D O I：

10.1155/2013/136043

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We extend for the first time the applicability of the Optimal Homotopy Asymptotic Method (OHAM) to find approximate solution of a system of two-point boundary-value problems (BVPs). The OHAM provides us with a very simple way to control and adjust the convergence of the series solution using the auxiliary constants which are optimally determined. Comparisons made show the effectiveness and reliability of the method.

引用

页数：7

共 16 条

[1] The Optimal Homotopy Asymptotic Method for the Solution of Higher-Order Boundary Value Problems in Finite Domains [J].

Ali, Javed ;

Islam, S. ;

Khan, Hamid ;

Shah, Syed Inayat Ali .

ABSTRACT AND APPLIED ANALYSIS, 2012,

[2] The solution of multipoint boundary value problems by the Optimal Homotopy Asymptotic Method [J].

Ali, Javed ;

Islam, S. ;

Islam, Sirajul ;

Zaman, Gul .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (06) :2000-2006

[3] Solution of the Jeffery-Hamel flow problem by optimal homotopy asymptotic method [J].

Esmaeilpour, M. ;

Ganji, D. D. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (11) :3405-3411

[4] Solution of strongly nonlinear ordinary differential equations arising in heat transfer with optimal homotopy asymptotic method [J].

Haq, Sirajul ;

Ishaq, Muhammad .

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2012, 55 (21-22) :5737-5743

[5] Numerical solutions of weakly singular Volterra integral equations using the optimal homotopy asymptotic method [J].

Hashmi, M. S. ;

Khan, N. ;

Iqbal, S. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (06) :1567-1574

[6] Explicit analytical approximation to large-amplitude non-linear oscillations of a uniform cantilever beam carrying an intermediate lumped mass and rotary inertia [J].

Herisanu, Nicolae ;

Marinca, Vasile .

MECCANICA, 2010, 45 (06) :847-855

[7]

Herisanu N, 2008, P ROMANIAN ACAD A, V9, P229

[8] Application of the Optimal Homotopy Asymptotic Method to squeezing flow [J].

Idrees, M. ;

Islam, S. ;

Haq, Sirajul ;

Islam, Sirajul .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (12) :3858-3866

[9]

Marinca V, 2008, CENT EUR J PHYS, V6, P648, DOI [10.2478/s11534-008-0061-x, 10.2478/S11534-008-0061-x]

[10] Application of Optimal Homotopy Asymptotic Method for solving nonlinear equations arising in heat transfer [J].

Marinca, Vasile ;

Herisanu, Nicolae .

INTERNATIONAL COMMUNICATIONS IN HEAT AND MASS TRANSFER, 2008, 35 (06) :710-715

← 1 2 →