Mathematical Problems in Engineering

Recent Advances in Solution Methods for Nonlinear Evolution Equations, Fluid Flow, and Heat and Mass Transfer


Status
Published

Lead Editor

1University of KwaZulu-Natal, Pietermaritzburg, South Africa

2University of Venda, Thohoyandou, South Africa

3University of Central Florida, Orlando, USA

4Universite Paris 10, Nanterre, France

5VIT University, Vellore, India


Recent Advances in Solution Methods for Nonlinear Evolution Equations, Fluid Flow, and Heat and Mass Transfer

Description

The development of new methods for the solution of nonlinear ordinary and partial different equations and many other types of equations that model real-life nonlinear phenomena continues to be an active area of research. In recent years, there has been an upsurge in research that is focused on developing improvements of existing solution techniques with the aim of optimising their efficiency and performance.

This special issue provides an opportunity for researchers to publish their results on recently developed solution methods and modification on existing ones. We invite researchers to submit original research articles as well as review articles on new or modified solution methods for solving various models of nonlinear algebraic equations, initial value problems, nonlinear ordinary and partial differential equations, differential algebraic equations, fractional differential equations, and integrodifferential equations.

Potential topics include, but are not limited to:

  • Quasi-linearization methods
  • Relaxation iterative methods
  • Finite difference and compact finite difference methods
  • Spectral collocation methods
  • Methods based on differential matrices and operators
  • Analytical and semianalytical methods including differential transform method, homotopy analysis method, homotopy perturbation method, optimal homotopy asymptotic method, variational iteration method, and many others
  • Perturbation and nonperturbation techniques
  • Higher order numerical methods

Articles

  • Special Issue
  • - Volume 2015
  • - Article ID 673890
  • - Editorial

Recent Advances in Solution Methods for Nonlinear Evolution Equations, Fluid Flow, and Heat and Mass Transfer

Sandile Motsa | Stanford Shateyi | ... | B. Rush Kumar
  • Special Issue
  • - Volume 2015
  • - Article ID 481905
  • - Research Article

Local Fractional Fourier Series Method for Solving Nonlinear Equations with Local Fractional Operators

Yong-Ju Yang | Shun-Qin Wang
  • Special Issue
  • - Volume 2015
  • - Article ID 724596
  • - Research Article

Diffusion of Chemically Reactive Species in Casson Fluid Flow over an Unsteady Stretching Surface in Porous Medium in the Presence of a Magnetic Field

Gilbert Makanda | Sachin Shaw | Precious Sibanda
  • Special Issue
  • - Volume 2015
  • - Article ID 960602
  • - Research Article

A Fourth-Order Conservative Compact Finite Difference Scheme for the Generalized RLW Equation

Shuguang Li | Jue Wang | Yuesheng Luo
  • Special Issue
  • - Volume 2015
  • - Article ID 610490
  • - Research Article

The Application of MPC in Microwave Heating Process Based on Model Constructed by Lambert’s Law Combined with Temperature

Jianshuo Li | Qingyu Xiong | ... | Min Gao
  • Special Issue
  • - Volume 2015
  • - Article ID 197978
  • - Research Article

On a Coupled System of Shallow Water Equations Admitting Travelling Wave Solutions

D. Burini | S. De Lillo | D. Skouteris
  • Special Issue
  • - Volume 2015
  • - Article ID 135424
  • - Research Article

Self-Similar Unsteady Flow of a Sisko Fluid in a Cylindrical Tube Undergoing Translation

M. Khan | S. Abelman | ... | F. M. Mahomed
  • Special Issue
  • - Volume 2015
  • - Article ID 210727
  • - Research Article

Analytical Model of Fluid Flow through Closed Structures for Vacuum Tube Systems

Chan-Hee Park | Dae-Sung Cheon | Joonam Park
  • Special Issue
  • - Volume 2015
  • - Article ID 150493
  • - Research Article

A Theorem for Finding Maximum Temperature in Wet Grinding

J. L. González-Santander | G. Martín
  • Special Issue
  • - Volume 2015
  • - Article ID 548606
  • - Research Article

Exact Solitary Wave and Periodic Wave Solutions of a Class of Higher-Order Nonlinear Wave Equations

Lijun Zhang | Chaudry Masood Khalique
Mathematical Problems in Engineering
 Journal metrics
Acceptance rate27%
Submission to final decision64 days
Acceptance to publication34 days
CiteScore1.800
Impact Factor1.009
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