· 2022
Partial Differential Equations
- 254citations
- 2022year
Short summary
Most real-world physical and engineering systems are modeled by coupled, nonlinear partial differential equations (PDEs) that lack analytical solutions, necessitating numerical methods for practical problem-solving.
AI-generated from the title and abstract; the full text is not read.
Key points
- Real-life physical and engineering systems are modeled by partial differential equations (PDEs).
- These PDEs are typically coupled and nonlinear.
- Analytical solutions for such nonlinear PDEs are generally unavailable.
- Numerical solutions are the primary approach for scientists and engineers.
AI-generated from the title and abstract; the full text is not read.
Abstract
Most physical as well as engineering systems one encounters in real life can be mathematically modeled using a system of partial differential equations subject to appropriate boundary conditions. These partial differential equations are coupled as well as nonlinear in nature. Owing to their nonlinearity, systems of partial differential equations that represent physical and engineering phenomena do not have closedform or analytical solutions. Thus, the only alternative available to a scientist or a engineer is to seek a numerical solution for the aforementioned systems of partial differential equations.
The authors' abstract, as published at the source., 2022 · DOI ↗
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Field: Numerical Analysis
Numerical AnalysisMathematics