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- W1886143886 abstract "The polynomial expansion method is a useful tool to solve partial differential equations (PDEs). However, the researchers seldom use it as a major medium to solve PDEs due to its highly ill-conditioned behavior. We propose a single-scale and a multiple-scale Pascal triangle formulations to solve the linear elliptic PDEs in a simply connected domain equipped with complex boundary shape. For the former method a constant parameter R0 is required, while in the latter one all introduced scales are automatically determined by the collocation points. Then we use the multiple-scale method to solve the inverse Cauchy problems, which is very accurate and very stable against large noise to 20%. Numerical results confirm the validity of the present multiple-scale Pascal polynomial expansion method." @default.
- W1886143886 created "2016-06-24" @default.
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- W1886143886 date "2016-01-01" @default.
- W1886143886 modified "2023-10-16" @default.
- W1886143886 title "A multiple-scale Pascal polynomial triangle solving elliptic equations and inverse Cauchy problems" @default.
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- W1886143886 doi "https://doi.org/10.1016/j.enganabound.2015.09.003" @default.
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