Guest Editors
Dr. Hijaz Ahmad, International Telematic University Uninettuno, Italy.
Dr. Abdon Atangana, University of the Free State, South Africa.
Dr. Mahmoud Abdel-Aty, Sohag University, Egypt.
Dr. Guotao Wang, Shanxi Normal University, China.
Dr. Clemente Cesarano, International Telematic University, Italy.
Summary
When modeling real-world problems, we often have to deal with measurements of different, related and mutually dependent processes. Partial differential equations are frequently used to model several physical phenomenons, arising in applied sciences and engineering. The solutions of these PDEs are of primary importance for the determination of physical behaviour of these physical phenomenons. The exact/analytical solutions of these PDEs are ideal, but due to mathematical complications, the exact/analytical solutions are possible only for simple problems with simple boundary conditions. The exact solutions of nonlinear PDEs arised in science and engineering are not always possible or time-consuming and thus the use of approximate/numerical approaches continuously remains an important alternative for the numerical treatment of these type equations. The numerical solutions of PDEs have been of much importance for many years. in the last few years, tremendous progress has been made to this area, due to the development of computer technology. Although significant progress has been made, still the numerical methods are in the early stage of their development.
This Special Issue deals with the recent advances in computer based techniques for partial differential equations of integer order as well as fractional-order, especially in science and engineering, and will accept high-quality papers having original research results.
The purpose of this Special Issue is to unite mathematicians with physicists, engineers and other researchers, for whom differential equations are valuable research tools.
Keywords
Computational mathematical techniques
Partial differential equations
Numerical simulation
Modelling real world problems
Computer based algorithms
Advances in numerical techniques
Published Papers
Login
Register
Submit a Paper
Propose a Special lssue