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- W2066682926 abstract "We consider the problem of determining a pair of functions (u, f) satisfying the two-dimensional backward heat equation with a homogeneous Cauchy boundary condition, where ϕ and g are given approximately. The problem is severely ill-posed. Using an interpolation method and the truncated Fourier series, we construct a regularized solution for the source term f and provide Holder-type error estimates in both L 2 and H 1 norms. Numerical experiments are provided." @default.
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- W2066682926 date "2010-11-19" @default.
- W2066682926 modified "2023-10-14" @default.
- W2066682926 title "Hölder-Type Approximation for the Spatial Source Term of a Backward Heat Equation" @default.
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- W2066682926 doi "https://doi.org/10.1080/01630563.2010.528568" @default.
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