What is the difference between an initial value problem and a boundary value problem?

Sivaganesh Gopalakrishnan @Sivaganesh_Gopalakrishnan2

01 January 1970 1 2K Report

In the case of differential equations, how the solutions (analytical and numerical solutions) to both cases be found?

Dear Sivaganesh,

To solve your system of equations you need initial condition values: this is initialization; the result will depend on it. You also need boundary conditions: for instance at the frontier of your simulation domain (ex: Dirichlet conditions) or for simulating the atmosphere or the ocean you need to impose surface fluxes. all these are boundary conditions.

G.C.

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