3-Calculus-Differential Equation-Methods-Boundary

boundary value problem

After integration, solutions need point {boundary value, solution} {initial value, solution} to find integration constant. Problem can have no boundary or initial value {boundary value problem} {initial value problem}. Method of arithmetic means and method of sweeping out can find solutions to ordinary and partial differential-equation systems.

Dirichlet problem

Potential function or harmonic function may or may not exist at boundary {Dirichlet problem} {first boundary-value problem}.

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3-Calculus-Differential Equation-Methods

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Date Modified: 2022.0225