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 931294
  • - Editorial

Analytical and Numerical Approaches for Complicated Nonlinear Equations

Hossein Jafari | Abdon Atangana | ... | Muhammad Usman
  • Special Issue
  • - Volume 2014
  • - Article ID 532409
  • - Research Article

On Some Classes of Linear Volterra Integral Equations

Anatoly S. Apartsyn
  • Special Issue
  • - Volume 2014
  • - Article ID 379829
  • - Research Article

Three-Step Block Method for Solving Nonlinear Boundary Value Problems

Phang Pei See | Zanariah Abdul Majid | Mohamed Suleiman
  • Special Issue
  • - Volume 2014
  • - Article ID 751209
  • - Research Article

Almost Surely Exponential Stability of Numerical Solutions for Stochastic Pantograph Equations

Shaobo Zhou
  • Special Issue
  • - Volume 2014
  • - Article ID 782080
  • - Research Article

Approximation by Certain Linear Positive Operators of Two Variables

Afşin Kürşat Gazanfer | İbrahim Büyükyazıcı
  • Special Issue
  • - Volume 2014
  • - Article ID 392435
  • - Research Article

Pattern Formation in a Predator-Prey Model with Both Cross Diffusion and Time Delay

Boli Xie | Zhijun Wang | Yakui Xue
  • Special Issue
  • - Volume 2014
  • - Article ID 796286
  • - Research Article

On Bernstein Polynomials Method to the System of Abel Integral Equations

A. Jafarian | S. Measoomy Nia | ... | D. Baleanu
  • Special Issue
  • - Volume 2014
  • - Article ID 132324
  • - Research Article

Global Solutions to the Spherically Symmetric Compressible Navier-Stokes Equations with Density-Dependent Viscosity and Discontinuous Initial Data

Ruxu Lian | Jianwei Yang | Jian Liu
  • Special Issue
  • - Volume 2014
  • - Article ID 896871
  • - Research Article

The Existence of Solution for a -Dimensional System of Multiterm Fractional Integrodifferential Equations with Antiperiodic Boundary Value Problems

Dumitru Baleanu | Sayyedeh Zahra Nazemi | Shahram Rezapour
  • Special Issue
  • - Volume 2014
  • - Article ID 427023
  • - Research Article

Symplectic Schemes for Linear Stochastic Schrödinger Equations with Variable Coefficients

Xiuling Yin | Yanqin Liu
Abstract and Applied Analysis
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Acceptance rate7%
Submission to final decision110 days
Acceptance to publication33 days
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