Abstract and Applied Analysis

Recent Theory and Applications on Numerical Algorithms and Special Functions


Publishing date
06 Feb 2015
Status
Published
Submission deadline
19 Sep 2014

Lead Editor

1King Abdulaziz University, Jeddah, Saudi Arabia

2University of Central Florida, Orlando, USA

3Cankaya University, Ankara, Turkey

4Neijiang Normal University, Neijiang, China


Recent Theory and Applications on Numerical Algorithms and Special Functions

Description

In recent years, there has been extensive research activity on both the theory and application of efficient numerical methods for approximating the solutions of differential equations. Numerical algorithms and special functions have been a major thrust of this research and have numerous applications in science and engineering. Special functions play a tremendous role in mathematical analysis and in the development of new numerical techniques. In particular, they allow a broad refinement of spectral methods for solving several types of differential equations in both finite and infinite domains. This is useful, in that there is a strong need for efficient and easy-to-use scalable techniques for the numerical solution of large scale problems.

This special issue focuses on the analysis of numerical methods and special functions, while also addressing the practical nature of the two fields. In addition to the strong focus in computational mathematics, scientific computing, and theoretical physics, a special emphasis will be given to orthogonal polynomials, the theory of numerical methods for solution of differential equations, and applications of these fields.

Potential topics include, but are not limited to:

  • Numerical methods for integral equations
  • Fractional differential equations
  • Dynamics of nonlinear differential equations
  • Functional differential equations on various time scales
  • Impulsive differential and integral equations
  • Fixed-point theory relevant to numerical methods
  • Numerical solution of partial differential equations and relevant applications
  • Analytical methods for nonlinear differential equations
  • Numerical optimization
  • Scientific computing
  • Applications of the above in science and engineering

Articles

  • Special Issue
  • - Volume 2015
  • - Article ID 101063
  • - Editorial

Recent Theory and Applications on Numerical Algorithms and Special Functions

Ali H. Bhrawy | Robert A. Van Gorder | ... | Guo-Cheng Wu
  • Special Issue
  • - Volume 2015
  • - Article ID 672703
  • - Research Article

Some Algorithms for Solving Third-Order Boundary Value Problems Using Novel Operational Matrices of Generalized Jacobi Polynomials

W. M. Abd-Elhameed
  • Special Issue
  • - Volume 2014
  • - Article ID 867095
  • - Research Article

Solving Nonstiff Higher-Order Ordinary Differential Equations Using 2-Point Block Method Directly

Hazizah Mohd Ijam | Mohamed Suleiman | ... | Soheil Salahshour
  • Special Issue
  • - Volume 2014
  • - Article ID 459790
  • - Research Article

An Efficient Computation of Effective Ground Range Using an Oblate Earth Model

Dalal A. Maturi | Malik Zaka Ullah | ... | Fayyaz Ahmad
  • Special Issue
  • - Volume 2014
  • - Article ID 436164
  • - Research Article

On Fast and Stable Implementation of Clenshaw-Curtis and Fejér-Type Quadrature Rules

Shuhuang Xiang | Guo He | Haiyong Wang
  • Special Issue
  • - Volume 2014
  • - Article ID 714560
  • - Research Article

Certain Class of Generating Functions for the Incomplete Hypergeometric Functions

Junesang Choi | Praveen Agarwal
  • Special Issue
  • - Volume 2014
  • - Article ID 350529
  • - Research Article

On the Bivariate Spectral Homotopy Analysis Method Approach for Solving Nonlinear Evolution Partial Differential Equations

S. S. Motsa
  • Special Issue
  • - Volume 2014
  • - Article ID 536325
  • - Research Article

On Certain Matrices of Bernoulli Numbers

Ruiming Zhang | Li-Chen Chen
  • Special Issue
  • - Volume 2014
  • - Article ID 963985
  • - Research Article

On the Fractional Nagumo Equation with Nonlinear Diffusion and Convection

Abdon Atangana | Suares Clovis Oukouomi Noutchie
  • Special Issue
  • - Volume 2014
  • - Article ID 297314
  • - Research Article

Solvability for a Coupled System of Fractional Integrodifferential Equations with -Point Boundary Conditions on the Half-Line

Payam Nasertayoob | S. Mansour Vaezpour | Dumitru Baleanu
Abstract and Applied Analysis
 Journal metrics
Acceptance rate14%
Submission to final decision40 days
Acceptance to publication54 days
CiteScore1.300
Impact Factor-
 Submit

We are committed to sharing findings related to COVID-19 as quickly as possible. We will be providing unlimited waivers of publication charges for accepted research articles as well as case reports and case series related to COVID-19. Review articles are excluded from this waiver policy. Sign up here as a reviewer to help fast-track new submissions.