Mathematical Problems in Engineering

Recent Advances on Methods and Applications of Nonlinear Differential Equations


Publishing date
22 Nov 2013
Status
Published
Submission deadline
05 Jul 2013

1Department of Mathematics and Statistics, Texas A&M University-Corpus Christi, 6300 Ocean Drive, Corpus Christi, TX 78412, USA

2Centre for Differential Equations, Continuum Mechanics and Applications, School of Computational and Applied Mathematics, University of the Witwatersrand, Johannesburg 2050, South Africa

3Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran

4Department of Mathematics and Information Science, Neijiang Normal University, Neijiang 641112, China


Recent Advances on Methods and Applications of Nonlinear Differential Equations

Description

Nonlinear differential equations have been extensively used to mathematically model many of the interesting and important phenomena that are observed in many areas of science and technology. They are inspired by problems which arise in diverse fields such as economics, biology, fluid dynamics, physics, differential geometry, engineering, control theory, materials science, and quantum mechanics.

The aim of this special issue is to report on recent developments in the field of nonlinear differential equations and their applications. The Journal of Mathematical Problems in Engineering will accept high-quality articles containing original research results and reviews.

We are interested in articles that have methods and models based on nonlinear differential equations. Their solutions can be analytic or numerical. Potential topics include, but are not limited to:

  • Lie symmetry and operator methods for differential equations
  • Fractional differential equations
  • Stochastic differential equations
  • q-equations including fractional q-discrete equations
  • Applications of differential equations in engineering such as in beam theory including the Euler-Bernoulli beam equations, and so forth
  • Applications to classical and fluid mechanics, solid mechanics, thermodynamics, finance, physics, biology, and so forth
  • Variational methods
  • Computational and numerical methods

All accepted papers will be published in the Journal of Mathematical Problems in Engineering, which is indexed by SCI. Therefore, papers are widely invited from both theoretical researches and industrial practices.

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


Articles

  • Special Issue
  • - Volume 2013
  • - Article ID 695457
  • - Research Article

Fundamental-Solution-Based Hybrid Element Model for Nonlinear Heat Conduction Problems with Temperature-Dependent Material Properties

Hui Wang | Ming-Yue Han | ... | Zhao-Ran Xiao
  • Special Issue
  • - Volume 2013
  • - Article ID 157849
  • - Research Article

Existence of Positive Solution for a Third-Order BVP with Advanced Arguments and Stieltjes Integral Boundary Conditions

Jian-Ping Sun | Ping Yan | ... | Fang-Di Kong
  • Special Issue
  • - Volume 2013
  • - Article ID 825817
  • - Research Article

An Efficient Approach for Solving Nonlinear Troesch’s and Bratu’s Problems by Wavelet Analysis Method

A. Kazemi Nasab | Z. Pashazadeh Atabakan | A. Kılıçman
  • Special Issue
  • - Volume 2013
  • - Article ID 531984
  • - Research Article

A Novel Integral Operator Transform and Its Application to Some FODE and FPDE with Some Kind of Singularities

Abdon Atangana | Adem Kilicman
  • Special Issue
  • - Volume 2013
  • - Article ID 764782
  • - Research Article

Cuttings Transport Models and Experimental Visualization of Underbalanced Horizontal Drilling

Na Wei | YingFeng Meng | ... | YuRui Zhang
  • Special Issue
  • - Volume 2013
  • - Article ID 452576
  • - Research Article

Application of Lie Symmetry Analysis and Simplest Equation Method for Finding Exact Solutions of Boussinesq Equations

Hossein Jafari | Nematollah Kadkhoda | Chaudry Massod Khalique
  • Special Issue
  • - Volume 2013
  • - Article ID 974808
  • - Research Article

A New Numerical Method of Particular Solutions for Inhomogeneous Burgers’ Equation

Huantian Xie | Dingfang Li | Feng Li
  • Special Issue
  • - Volume 2013
  • - Article ID 897912
  • - Research Article

Conservation Laws of Some Physical Models via Symbolic Package GeM

Rehana Naz | Imran Naeem | M. Danish Khan
  • Special Issue
  • - Volume 2013
  • - Article ID 195708
  • - Research Article

A Novel Method for Analytical Solutions of Fractional Partial Differential Equations

Mehmet Ali Akinlar | Muhammet Kurulay
  • Special Issue
  • - Volume 2013
  • - Article ID 543848
  • - Research Article

Fractional Variational Iteration Method and Its Application to Fractional Partial Differential Equation

Asma Ali Elbeleze | Adem Kılıçman | Bachok M. Taib
Mathematical Problems in Engineering
 Journal metrics
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Acceptance rate11%
Submission to final decision118 days
Acceptance to publication28 days
CiteScore2.600
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