Advances in Mathematical Physics

Qualitative and Quantitative Techniques for Differential Equations Arising in Mathematical Physics


Status
Published

Lead Editor

1Lahore School of Economics, Lahore, Pakistan

2Università di Catania, Catania, Italy

3Universidade Federal do ABC, Santo André, Brazil

4Lahore University of Management Sciences (LUMS), Lahore, Pakistan


Qualitative and Quantitative Techniques for Differential Equations Arising in Mathematical Physics

Description

Differential equations are a key tool in modeling physical phenomena. Most of physical laws of natural sciences are expressed in terms of differential equations, for example, balance laws of mass or energy and momentum. Additionally, differential equations are also employed in modeling population dynamics, diseases, and other.

In this special issue we focus on bringing together applications and theoretical developments on differential equations oriented to problems arising in physical sciences. To this end, this issue will provide a forum to investigate the advances in the qualitative and quantitative techniques for ordinary differential equations, partial differential equations, fractional differential equations, integrodifferential equations, and difference equations.

Potential topics include but are not limited to the following:

  • Symmetries, differential equations, and applications
  • Optimal control
  • Equivalence transformations and classical and nonclassical symmetries
  • Reduction techniques and solutions and linearization
  • Conserved quantities in natural phenomena
  • Completely integrable equations in mathematical physics
  • Recursion operators, infinite hierarchy of symmetries, and/or conservation laws
  • Equations admitting weak soliton solutions
  • Models for air pollution and underground pollution
  • Mathematical methods for extended thermodynamics
  • Numerical techniques for problems arising in the modeling of physical process
  • Ad hoc methods for solutions

Articles

  • Special Issue
  • - Volume 2017
  • - Article ID 8592571
  • - Editorial

Qualitative and Quantitative Techniques for Differential Equations Arising in Mathematical Physics

Rehana Naz | Mariano Torrisi | ... | Imran Naeem
  • Special Issue
  • - Volume 2017
  • - Article ID 1620417
  • - Research Article

Global Well-Posedness for a Class of Kirchhoff-Type Wave System

Xiaoli Jiang | Xiaofeng Wang
  • Special Issue
  • - Volume 2017
  • - Article ID 5287132
  • - Research Article

Numerical Simulation to Air Pollution Emission Control near an Industrial Zone

Pravitra Oyjinda | Nopparat Pochai
  • Special Issue
  • - Volume 2017
  • - Article ID 8716752
  • - Research Article

A Fast Implicit Finite Difference Method for Fractional Advection-Dispersion Equations with Fractional Derivative Boundary Conditions

Taohua Liu | Muzhou Hou
  • Special Issue
  • - Volume 2017
  • - Article ID 1535826
  • - Research Article

Numerical Solutions of Coupled Systems of Fractional Order Partial Differential Equations

Yongjin Li | Kamal Shah
  • Special Issue
  • - Volume 2017
  • - Article ID 4384093
  • - Research Article

Geometrical/Physical Interpretation of the Conserved Quantities Corresponding to Noether Symmetries of Plane Symmetric Space-Times

Bismah Jamil | Tooba Feroze | Andrés Vargas
  • Special Issue
  • - Volume 2017
  • - Article ID 9139135
  • - Research Article

An Iterative Method for Solving of Coupled Equations for Conductive-Radiative Heat Transfer in Dielectric Layers

Vasyl Chekurin | Yurij Boychuk
  • Special Issue
  • - Volume 2017
  • - Article ID 2580968
  • - Research Article

Canonical Forms and Their Integrability for Systems of Three 2nd-Order ODEs

S. Zahida | M. N. Qureshi | Muhammad Ayub
  • Special Issue
  • - Volume 2017
  • - Article ID 1658305
  • - Research Article

Heat Transfer in a Porous Radial Fin: Analysis of Numerically Obtained Solutions

R. Jooma | C. Harley
Advances in Mathematical Physics
 Journal metrics
Acceptance rate24%
Submission to final decision37 days
Acceptance to publication39 days
CiteScore1.300
Impact Factor1.130
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