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 391901
  • - Research Article

On Approximate Solutions for Fractional Logistic Differential Equation

M. M. Khader | Mohammed M. Babatin
  • Special Issue
  • - Volume 2013
  • - Article ID 573170
  • - Research Article

Shock Wave Solution for a Nonlinear Partial Differential Equation Arising in the Study of a Non-Newtonian Fourth Grade Fluid Model

Taha Aziz | A. Fatima | F. M. Mahomed
  • Special Issue
  • - Volume 2013
  • - Article ID 524852
  • - Research Article

Homotopy Perturbation Method for Fractional Black-Scholes European Option Pricing Equations Using Sumudu Transform

Asma Ali Elbeleze | Adem Kılıçman | Bachok M. Taib
  • Special Issue
  • - Volume 2013
  • - Article ID 609536
  • - Research Article

A Numerical Well-Balanced Scheme for One-Dimensional Heat Transfer in Longitudinal Triangular Fins

I. Rusagara | C. Harley
  • Special Issue
  • - Volume 2013
  • - Article ID 243670
  • - Research Article

Propagation of Measurement-While-Drilling Mud Pulse during High Temperature Deep Well Drilling Operations

Hongtao Li | Yingfeng Meng | ... | Xiaofeng Xu
  • Special Issue
  • - Volume 2013
  • - Article ID 325132
  • - Research Article

Numerical Investigation of Thin Film Spreading Driven by Surfactant Using Upwind Schemes

E. Momoniat | M. M. Rashidi | R. S. Herbst
  • Special Issue
  • - Volume 2013
  • - Article ID 382509
  • - Research Article

He’s Max-Min Approach for Coupled Cubic Nonlinear Equations Arising in Packaging System

Jun Wang
  • Special Issue
  • - Volume 2013
  • - Article ID 724385
  • - Research Article

Prandtl's Boundary Layer Equation for Two-Dimensional Flow: Exact Solutions via the Simplest Equation Method

Taha Aziz | A. Fatima | ... | F. M. Mahomed
  • Special Issue
  • - Volume 2013
  • - Article ID 757206
  • - Research Article

A Collocation Method Based on the Bernoulli Operational Matrix for Solving Nonlinear BVPs Which Arise from the Problems in Calculus of Variation

Emran Tohidi | Adem Kılıçman
  • Special Issue
  • - Volume 2013
  • - Article ID 696597
  • - Research Article

A Possible Generalization of Acoustic Wave Equation Using the Concept of Perturbed Derivative Order

Abdon Atangana | Adem Kılıçman
Mathematical Problems in Engineering
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Acceptance rate11%
Submission to final decision118 days
Acceptance to publication28 days
CiteScore2.600
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