Partial differential equation & its application.

Partial differential equation & its application.

1. Partial differential equation & its application Israt Zerin Tisha Section-A Roll- 16511013

2.  A differential equation involving partial derivatives of a dependent variable(one or more) with more than one independent variable is called a partial differential equation. Example: Definition

3. If the dependent variable and all its partial derivatives occur linearly in any PDE then such an equation is called linear PDE otherwise a non-linear PDE . Example : Linear: Non linear : Linear and Non Linear PD E

4. PDE are used to model many systems in different fields of science and engineering such as – La place Equation Heat Equation Wave Equation Fluid dynamics Quantum mechanics A pplication

5. The heat equation is a parabolic partial differential equation that describes the distribution of heat (or variation in temperature) in a given region over time . Application