Abstract and Applied Analysis

Analytical and Numerical Approaches for Complicated Nonlinear Equations


Publishing date
02 May 2014
Status
Published
Submission deadline
13 Dec 2013

Lead Editor

1Department of Mathematics, University of Mazandaran, Babolsar 47416-95447, Iran

2Department of Applied Mathematics, Institute for Groundwater Studies, University of the Free State, Bloemfontein 9301, South Africa

3Department of Mathematics, University of Dayton, 300 College Park, Dayton, OH 45469-2316, USA


Analytical and Numerical Approaches for Complicated Nonlinear Equations

Description

In the last decades, more and more attention has been paid to nonlinear problems of various types such as moving boundary problems, time delay problems, and fractional differential equations owing to their important and potential applications in science and engineering. Different from numerical techniques, analytical approaches can give explicit solutions to these problems, which could reflect the internal nature of the physical problems and provide easy-to-use explicit formulae for estimation of various physical quantities. We invite researchers to submit their up-to-date research work on various aspects of complicated nonlinear equations and their applications to other applied sciences by means of various analytical approaches. Potential topics include, but are not limited to:

  • New theoretical researches on analytical techniques for all kinds of complicated nonlinear problems
  • New applications of analytical approaches to moving boundary problems, time delay problems, fractional problems, and so forth
  • Linear or nonlinear problems with complicated initial/boundary conditions
  • Applications of analytical approaches in partial differential equations
  • Improvement of analytical approaches and their applications in science and engineering problems
  • New applications of the iterations method in science and engineering
  • Analytical methods for fractional differential equation
  • Nonlinear perturbation differential equation
  • Numerical analysis of nonlinear differential equations

Before submission authors should carefully read over the journal’s Author Guidelines, which are located at http://www.hindawi.com/journals/aaa/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/submit/journals/aaa/cono/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2014
  • - Article ID 549305
  • - Research Article

Numerical Solutions to Nonsmooth Dirichlet Problems Based on Lumped Mass Finite Element Discretization

Haixiong Yu | Jinping Zeng
  • Special Issue
  • - Volume 2014
  • - Article ID 386459
  • - Research Article

The Yang-Laplace Transform for Solving the IVPs with Local Fractional Derivative

Chun-Guang Zhao | Ai-Min Yang | ... | Ahmad Haghbin
  • Special Issue
  • - Volume 2014
  • - Article ID 176395
  • - Research Article

Local Fractional Function Decomposition Method for Solving Inhomogeneous Wave Equations with Local Fractional Derivative

Shun-Qin Wang | Yong-Ju Yang | Hassan Kamil Jassim
  • Special Issue
  • - Volume 2013
  • - Article ID 484391
  • - Research Article

Global Analysis of a Discrete Nonlocal and Nonautonomous Fragmentation Dynamics Occurring in a Moving Process

E. F. Doungmo Goufo | S. C. Oukouomi Noutchie
  • Special Issue
  • - Volume 2013
  • - Article ID 675373
  • - Research Article

Computing Hypercrossed Complex Pairings in Digital Images

Simge Öztunç | Ali Mutlu | Necdet Bildik
  • Special Issue
  • - Volume 2013
  • - Article ID 264549
  • - Research Article

A Simplification for Exp-Function Method When the Balanced Nonlinear Term Is a Certain Product

Hong-Zhun Liu
  • Special Issue
  • - Volume 2013
  • - Article ID 672058
  • - Research Article

Bezier Curves Method for Fourth-Order Integrodifferential Equations

F. Ghomanjani | A. V. Kamyad | A. Kılıçman
Abstract and Applied Analysis
 Journal metrics
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Acceptance rate7%
Submission to final decision110 days
Acceptance to publication33 days
CiteScore1.600
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