41. For example, consider the following initial / boundary value problem for the heat equation on the spatial interval and times: 42. For the purpose of exposition, we give an example physical problem and the accompanying boundary value problem ( BVP ). 43. Problems involving the wave equation, such as the determination of normal modes, are often stated as boundary value problems. 44. Their distributional boundary values are equal if a _ n = b _ n for all " n ". 45. In the example above there are boundary values at 0, 1 and 12, 13 and each should be tested. 46. Equivalence Partitioning and Boundary value analysis are linked to each other and can be used together at all levels of testing. 47. These are precisely the square-integrable functions that arise as boundary values of holomorphic functions in the open unit disk. 48. But now even with the correct general solution I still manage to derive contradictions when given a mixed boundary value problem. 49. The variable can not take on boundary values 1 and 0, and the interpretation of the coefficients is not straightforward. 50. Moiseev has developed difference methods for solving boundary value problems with non-local boundary conditions arising in turbulent plasma theory.
