The theta rule is used in formulating the Crank-Nicholson scheme for solving them.
The theta rule is used in formulating the Crank-Nicholson scheme for solving them. Those that are subject to the initial value constraints have local solutions whose existence is guaranteed by the Cauchy-Kovalevski(*) theorem. A familiar examples of this type of equation is the diffusion equation, which sets the gradient of of a field to its time variation. For ten points, identify these types of equations which involve derivatives of a function of several variables.
The theta rule is used in formulating the Crank-Nicholson scheme for solving them.
partial differential equations