International Journal of Differential Equations

Recent Advances in Numerical Methods and Analysis for Nonlinear Differential Equations


Status
Published

Lead Editor
Guest Editors

1Huazhong University of Science and Technology, Wuhan, China

2University of Toronto, Toronto, Canada

3Beijing Computational Science Research Center, Beijing, China


Recent Advances in Numerical Methods and Analysis for Nonlinear Differential Equations

Description

Nonlinear differential equations provide a powerful means of modeling plenty of natural phenomena in scientific fields. Many dynamic processes can be well understood through the solutions of the problems. Generally speaking, it is usually difficult to obtain the analytical solutions due to the nonlinearity. Therefore, it becomes an urgent topic to find efficient ways to numerically solve the nonlinear differential equations.

The construction and analysis of numerical schemes for nonlinear differential equations are usually very important. A well-designed numerical scheme can save lots of computational costs in the long-time simulations of the real-world problems. It can also give a better performance in the prediction of the mathematical models. Therefore, it is highly desirable to develop effective and efficient numerical schemes and their numerical analysis for nonlinear differential equations.

Potential topics include but are not limited to the following:

  • New numerical methods for solving nonlinear differential equations with integer order
  • New numerical methods for solving nonlinear fractional differential equation
  • New numerical methods solving nonlinear integral equation
  • Numerical analysis of the numerical methods
  • Iterative algorithms and their application

Articles

  • Special Issue
  • - Volume 2019
  • - Article ID 3243510
  • - Editorial

Recent Advances in Numerical Methods and Analysis for Nonlinear Differential Equations

Dongfang Li | Jinming Wen | Jiwei Zhang
  • Special Issue
  • - Volume 2018
  • - Article ID 8725014
  • - Research Article

Application of Optimal Homotopy Asymptotic Method to Some Well-Known Linear and Nonlinear Two-Point Boundary Value Problems

Muhammad Asim Khan | Shafiq Ullah | Norhashidah Hj. Mohd Ali
  • Special Issue
  • - Volume 2018
  • - Article ID 7212795
  • - Research Article

Global Stability of an Economic Model with a Continuous Delay of Kaldor Type Modified

Aka Fulgence Nindjin | Tetchi Albin N’guessan | ... | Kessé Tiban Tia
  • Special Issue
  • - Volume 2018
  • - Article ID 8241784
  • - Research Article

Stability Analysis of Additive Runge-Kutta Methods for Delay-Integro-Differential Equations

Hongyu Qin | Zhiyong Wang | ... | Jinming Wen
  • Special Issue
  • - Volume 2018
  • - Article ID 6402576
  • - Research Article

Linear -Method and Compact -Method for Generalised Reaction-Diffusion Equation with Delay

Fengyan Wu | Qiong Wang | ... | Xiaoli Chen
  • Special Issue
  • - Volume 2018
  • - Article ID 9754567
  • - Research Article

Well-Posedness and Numerical Study for Solutions of a Parabolic Equation with Variable-Exponent Nonlinearities

Jamal H. Al-Smail | Salim A. Messaoudi | Ala A. Talahmeh
International Journal of Differential Equations
 Journal metrics
Acceptance rate25%
Submission to final decision46 days
Acceptance to publication47 days
CiteScore1.400
Impact Factor-
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