Numerical Methods and Applications for Differential Problems
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Computational and Applied Mathematics".
Deadline for manuscript submissions: closed (30 April 2024) | Viewed by 10793
Special Issue Editors
Interests: numerical methods for differential problems; singularly perturbed problems and mathematical modeling
Interests: numerical methods for singularly perturbed problems; mathematical modeling
Special Issue Information
Dear Colleagues,
Differential equations arise in several research domains of applied sciences and engineering. These include but are not limited to fluid dynamics, heat conduction with mixed boundary conditions, population dynamics, and epidemiology. In most cases, it is difficult, if not impossible, to determine analytical solutions to the models listed above. Often, researchers have recourse to semi-analytical and numerical methods. However, obtaining a reliable semi-analytical solution involves a number of different elements and can become cumbersome. This difficulty may become more pronounced in the case of singularly perturbed problems. These includes a class of parameter-dependent problems and those presenting multiscale phenomena.
This Special Issue provides a platform where novel numerical methods that can be used to solve ordinary and partial differential equations as well as integro-differential equations will be presented. The stability and accuracy of those methods will be analyzed. Methods will be implemented on applied problems in various domains of science and engineering.
We solicit high-quality original research papers on numerical methods for differential problems, including the singularly perturbed ones. Survey articles are also welcome.
Dr. Justin B. Munyakazi
Prof. Dr. Gemechis File Duressa
Prof. Dr. Musa Cakir
Guest Editors
Manuscript Submission Information
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Keywords
- singularly perturbed problems
- ordinary differential equations
- partial differential equations
- integrodifferential equations
- fitted numerical methods
- boundary layers
- interior layers
- layer adapted meshes
- uniform convergence
- error bounds
- convergence analysis
- higher-order methods
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