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Applications and Applied Mathematics: An International Journal

Founding Editors-in-Chief
Aliakbar Montazer Haghighi,
Ph.D., Head
Department of Mathematics
Prairie View A&M University

Marin Stefanov Marinov,
Ph. D., Former Dean
Faculty of Applied Mathematics and Informatics
Technical University of Sofia

AAM
Applications and Applied Mathematics:
An International Journal (AAM)

ISSN: 1932-9466
AAM is available at
http://pvamu.edu/aam
Special Issue No. 1
(August 2010)
pp. 1 – 166
Founders and Founding Editors-in-Chief
Aliakbar Montazer Haghighi
Prairie View A&M University
Texas, USA
Marin Stefanov Marinov
Technical University of Sofia, Bulgaria
Editor-in-Chief
Aliakbar Montazer Haghighi, Ph. D.
Professor and Head of Department of Mathematics
Prairie View A&M University
P.O. Box 519 – Mail Stop 2225
Prairie View, Texas 77446-0519 USA
Tel: (+936)261-1970, Fax: (+936)261-2088
amhaghighi@pvamu.edu

Editorial Board
CONTENTS

Haydar Akca, United Arab Emirate
United Arab Emirate University, Al Ain
Bruno Apolloni, Italy
University of Milano, Milano
Dirk K. Callebaut, Belgium
University of Antwerp, Antwerpen
Stefanka Chukova, New Zealand
Victoria University of Wellington, Wellington
Orion Ciftja, USA
Prairie View A&M University, Prairie View, Texas
Constantin Corduneanu, USA
The University of Texas at Arlington, Arlington, Texas
Mohamed O. El-Doma, Sudan
University of Khartoum, Khartoum
Anwar Hossain, Bangladesh
University of Dhaka
Natalia Hritonenko, USA
Prairie View A&M University, Prairie View, Texas
Palle Jorgensen, USA
The University of Iowa, Iowa City, Iowa
Shyam L. Kalla, Kuwait
Kuwait University, Safat
Lyudmil I. Karandzhulov, Bulgaria
Technical University, Sofia
Hristo V. Kojouharov, USA
The University of Texas at Arligton, Arlington, Texas
Mihail M. Konstantinov, Bulgaria
University of Agriculture, Civil Engin and Geodesy, Sofia
Jian-ao Lian, USA
Prairie View A&M University, Prairie View, Texas
Mohammad-Reza Meshkani, Iran
Shaheed Beheshti University, Tehran
Dimitar P. Michev (Mishev), USA
Prairie View A&M University, Prairie View, Texas
Iordan P. Michev (Mishev), USA
SUNY at Suffolk, Selden, New York
Muhammad Aslam Noor, Pakistan
Mathematics, COMSTAT Institute of Information Technology
Kety Peeva, Bulgaria
Technical University of Sofia, Sofia
Guergana Petrova, USA
Texas A&M University, College Station, Texas
Daniel Riahi, USA
The University of Texas-Pan American, Edmington, Texas
Julio D Rossi, Argentina
Universidad de Buenos Aires, Buenos Aires
Maria Ya Slavkova, Bulgaria
Technical University, Sofia
V. P. Srivastava, India
Babu Banarasi Das Nat. Inst. of Tech and Managt., Lucknow
Vladimir D. Tonchev, USA
Michigan Technological University, Houghton, Michigan
Mihail D. Todorov, Bulgaria
Technical University, Sofia
Cemil Tunç, Turkey
Zeve Kampusu, Van
Bogdan Vernescu, USA
Worcester Polytechnic Institute, Worcester, Massachusetts
Yuri Yatsenko, USA
Houston Baptist University, Houston, Texas
Norio Yoshida, Japan
University of Toyama, Toyama

Syed Tauseef Mohyud-Din, Mustafa Inc and Ebru Cavlak
On Numerical Solutions of Two-Dimensional Boussinesq Equations by Using Adomian Decomposition and He’s Homotopy Perturbation Method, 1 – 11
PDF Document

Saeid Abbasbandy and Hadi Roohani Hhehsareh
The He's Variational Iteration Method for Solving the Integro-Differential Parabolic Problem with Integral Conditions, 12 – 23
PDF Document

Ahmet Yıldırım, Canan Ünlü, and Syed Tauseef Mohyud-Din
On the Solution of the Vibration Equation by Means of the Homotopy Perturbation Method, 24 – 33
PDF Document

H. Jafari1 and M. A. Firoozjaee
Multistage Homotopy Analysis Method for Solving Nonlinear Integral Equations, 34 – 45
PDF Document

Syed Tauseef Mohyud-Din1, Ahmet Yildirim
Latest Developments in Nonlinear Sciences, 46 – 72
PDF Document

Fazhan Geng
Modified Variational Iteration Method for Second Order Initial Value Problems, 73 – 81
PDF Document

Ahmet Yıldırım, Canan Ünlü, and Syed Tauseef Mohyud-Din
Exact Solitary-Wave Special Solutions for the Nonlinear Dispersive K(m,n) Equations by Means of the Homotopy Analysis Method, 82 –93
PDF Document

N. H. Sweilam and M. M. Khader
A Note on He’s Parameter-Expansion Method of Coupled Van der Pol–Duffing Oscillators, 94 – 100
PDF Document

S. Das, R. Kumar and P. K. Gupta
An Approximate Analytical Solution of the Fractional Diffusion Equation with External Force and Different Type of Absorbent Term – Revisited, 101 – 109
PDF Document

Elham Salehpoor, Hossein Jafari, and Merieh Abbasian Afrapoli
Revised Variational Iteration Method for Solving Systems of Ordinary Differential Equations
110 – 121
PDF Document

Yutaka Shoukaku
Forced oscillations of nonlinear hyperbolic equations with functional arguments via Riccati method,
122 – 153
PDF Document

P. Donald Ariel

Homotopy Perturbation Method and the Stagnation Point Flow                    154 – 166

PDF Document