partial differential equation Sentence Examples
- Partial differential equations (PDEs) describe the behavior of functions that change over both space and time.
- PDEs are used to model phenomena in physics, engineering, and biology, such as fluid flow, heat transfer, and population dynamics.
- The solutions to PDEs can be complex and difficult to obtain, often requiring numerical methods.
- The study of PDEs is an active area of research in mathematics and numerical analysis.
- PDEs can be classified into various types, such as elliptic, parabolic, and hyperbolic equations.
- Elliptic PDEs arise in problems where the unknown function is defined over a closed domain.
- Parabolic PDEs describe diffusion-like processes, where the unknown function changes smoothly over time.
- Hyperbolic PDEs govern wave-like phenomena, where information propagates at a finite speed.
- The general form of a PDE is a mathematical equation that contains partial derivatives of the unknown function.
- PDEs can be solved using a variety of methods, including analytical techniques, numerical methods, and graphical methods.
partial differential equation Meaning
Wordnet
partial differential equation (n)
a differential equation involving a functions of more than one variable
Synonyms & Antonyms of partial differential equation
No Synonyms and anytonyms found
FAQs About the word partial differential equation
a differential equation involving a functions of more than one variable
No synonyms found.
No antonyms found.
Partial differential equations (PDEs) describe the behavior of functions that change over both space and time.
PDEs are used to model phenomena in physics, engineering, and biology, such as fluid flow, heat transfer, and population dynamics.
The solutions to PDEs can be complex and difficult to obtain, often requiring numerical methods.
The study of PDEs is an active area of research in mathematics and numerical analysis.
