Abstract and Applied Analysis

Analytical and Numerical Methods for Solving Partial Differential Equations and Integral Equations Arising in Physical Models


Publishing date
25 Oct 2013
Status
Published
Submission deadline
07 Jun 2013

1Department of Mathematics, National Institute of Technology, Rourkela, India

2Department of Mechanical Engineering, Southern Illinois University, Carbondale, IL, USA

3Department of Science, National Institute of Technical Teachers’ Training and Research, Kolkata, India

4Bhaba Atomic Research Centre, Trombay, Mumbai, India


Analytical and Numerical Methods for Solving Partial Differential Equations and Integral Equations Arising in Physical Models

Description

Partial differential equations (PDEs) have become a useful tool for describing the natural phenomena of science and engineering models. Nowadays, the most of the phenomena that arise in mathematical physics and engineering fields can be described by PDEs. Many engineering applications are simulated mathematically as PDEs with initial and boundary conditions. Most physical phenomena of fluid dynamics, quantum mechanics, electricity, and many other models are controlled within their domain of validity by PDEs. Therefore, it becomes increasingly important to be familiar with all traditional and recently developed methods for solving PDEs and the implementations of these methods.

For many years the subject of functional equations has held a prominent place in the attention of mathematicians. In more recent years this attention has been directed to a particular kind of functional equation, an integral equation, where in the unknown function occurs under the integral sign. Such equations occur widely in diverse areas of applied mathematics and physics. They offer a powerful technique for solving a variety of practical problems. One obvious reason for using the integral equation rather than differential equations is that all of the conditions specifying the initial value problems or boundary value problems for a differential equation can often be condensed into a single integral equation. Whether one is looking for an exact solution to a given problem or having to settle for an approximation to it, an integral equation formulation can often provide a useful way forward. For this reason integral equations have attracted attention for most of the last century.

This special issue is intended to present recent trends and advances of analytical and numerical methods for the solutions of partial differential equations and integral equations arising in physical models. Potential topics include, but are not limited to:

  • Recent developments of partial differential equation models in the real physical systems
  • Mathematical modeling of integral equations in physical systems
  • New reliable analytical and numerical methods for the solution of partial differential and integral equations
  • Advances and applications of partial derivatives and integral equations in mechanics, electricity, economics, finance, biology, control theory, nonlinear waves, and chaos systems

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/spde/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2014
  • - Article ID 635235
  • - Editorial

Analytical and Numerical Methods for Solving Partial Differential Equations and Integral Equations Arising in Physical Models

Santanu Saha Ray | Om P. Agrawal | ... | T. Raja Sekhar
  • Special Issue
  • - Volume 2013
  • - Article ID 426916
  • - Research Article

Numerical Methods for Solving Fredholm Integral Equations of Second Kind

S. Saha Ray | P. K. Sahu
  • Special Issue
  • - Volume 2013
  • - Article ID 742643
  • - Research Article

Classification of Exact Solutions for Generalized Form of Equation

Hasan Bulut
  • Special Issue
  • - Volume 2013
  • - Article ID 562140
  • - Research Article

Numerical Solution of the Fractional Partial Differential Equations by the Two-Dimensional Fractional-Order Legendre Functions

Fukang Yin | Junqiang Song | ... | Lilun Zhang
  • Special Issue
  • - Volume 2013
  • - Article ID 390132
  • - Research Article

Persistence Property and Estimate on Momentum Support for the Integrable Degasperis-Procesi Equation

Zhengguang Guo | Liangbing Jin
  • Special Issue
  • - Volume 2013
  • - Article ID 903625
  • - Research Article

Existence and Decay Estimate of Global Solutions to Systems of Nonlinear Wave Equations with Damping and Source Terms

Yaojun Ye
  • Special Issue
  • - Volume 2013
  • - Article ID 262010
  • - Research Article

A Class of Spectral Element Methods and Its A Priori/A Posteriori Error Estimates for 2nd-Order Elliptic Eigenvalue Problems

Jiayu Han | Yidu Yang
  • Special Issue
  • - Volume 2013
  • - Article ID 108026
  • - Research Article

Nonlinear Hydroelastic Waves beneath a Floating Ice Sheet in a Fluid of Finite Depth

Ping Wang | Zunshui Cheng
  • Special Issue
  • - Volume 2013
  • - Article ID 416757
  • - Research Article

Numerical Solution of Nonlinear Fredholm Integrodifferential Equations by Hybrid of Block-Pulse Functions and Normalized Bernstein Polynomials

S. H. Behiry
  • Special Issue
  • - Volume 2013
  • - Article ID 282593
  • - Research Article

Semi-Idealized Study on Estimation of Partly and Fully Space Varying Open Boundary Conditions for Tidal Models

Jicai Zhang | Haibo Chen
Abstract and Applied Analysis
 Journal metrics
Acceptance rate14%
Submission to final decision40 days
Acceptance to publication54 days
CiteScore1.300
Impact Factor-
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