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 745287
  • - Research Article

Numerical Solution of Seventh-Order Boundary Value Problems by a Novel Method

Mustafa Inc | Ali Akgül
  • Special Issue
  • - Volume 2014
  • - Article ID 191876
  • - Research Article

Effect of the Velocity Second Slip Boundary Condition on the Peristaltic Flow of Nanofluids in an Asymmetric Channel: Exact Solution

Emad H. Aly | Abdelhalim Ebaid
  • Special Issue
  • - Volume 2014
  • - Article ID 920248
  • - Research Article

Global Solutions for a Simplified Shallow Elastic Fluids Model

Yun-guang Lu | Christian Klingenberg | ... | De-Yin Zheng
  • Special Issue
  • - Volume 2014
  • - Article ID 162896
  • - Research Article

Numerical Solution of Nonlinear Fractional Volterra Integro-Differential Equations via Bernoulli Polynomials

Emran Tohidi | M. M. Ezadkhah | S. Shateyi
  • Special Issue
  • - Volume 2014
  • - Article ID 840573
  • - Research Article

Stability of Exact and Discrete Energy for Non-Fickian Reaction-Diffusion Equations with a Variable Delay

Dongfang Li | Chao Tong | Jinming Wen
  • Special Issue
  • - Volume 2014
  • - Article ID 291614
  • - Research Article

Numerical Analysis for a Fractional Differential Time-Delay Model of HIV Infection of CD4+ T-Cell Proliferation under Antiretroviral Therapy

Yiliang Liu | Peifen Lu | Ivan Szanto
  • Special Issue
  • - Volume 2014
  • - Article ID 169694
  • - Research Article

Conservation Laws for a Variable Coefficient Variant Boussinesq System

Ben Muatjetjeja | Chaudry Masood Khalique
  • Special Issue
  • - Volume 2014
  • - Article ID 583532
  • - Research Article

Numerical Simulation of the Hydrogen Dispersion Behavior by a Parallel Characteristic Curve Method

Qinghe Yao | Xin Pan | Qingyong Zhu
  • Special Issue
  • - Volume 2014
  • - Article ID 342893
  • - Research Article

Stochastic Risk and Uncertainty Analysis for Shale Gas Extraction in the Karoo Basin of South Africa

Abdon Atangana | Gerrit van Tonder
  • Special Issue
  • - Volume 2014
  • - Article ID 486384
  • - Research Article

On Common Coupled Fixed Point Theorems for Comparable Mappings in Ordered Partially Metric Spaces

Ali Mutlu | Nermin Yolcu | ... | Necdet Bildik
Abstract and Applied Analysis
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Acceptance rate7%
Submission to final decision110 days
Acceptance to publication33 days
CiteScore1.600
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