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- W2892913526 abstract "This study is inspired by the rapidly growing interest in the numerical solution of factional diffusion problems, strongly motivated by their advanced applications. Several different techniques are proposed to localize the nonlocal fractional diffusion operator. First three of them are based on transformation of the original problem to local elliptic or pseudoparabolic problem, or to an integral representation of the solution, thus increasing the dimension of the computational domain. More recently, an alternative method was proposed, based on best uniform rational approximations (BURA) of the function (t^{beta -alpha }) for (0 < t le 1) and natural (beta ). Despite their different origin and approximation properties, BURA and the method based on integral representation have very similar implementation. For test problems with different regularity of the solution, the achieved accuracy is analysed, assuming settings of the two studied methods, leading to equal computational complexity." @default.
- W2892913526 created "2018-10-05" @default.
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- W2892913526 date "2018-09-28" @default.
- W2892913526 modified "2023-10-14" @default.
- W2892913526 title "Comparison Analysis on Two Numerical Solvers for Fractional Laplace Problems" @default.
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- W2892913526 doi "https://doi.org/10.1007/978-3-319-97277-0_13" @default.
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