A mathematician from RUDN University has proposed a new scheme for numerically solving equations with fractional powers of elliptic operators. The new scheme works faster than the existing ones, because it takes into account the properties of the solutions to such equations at singular points. The results could be useful for calculating diffusion processes—for example, fluid leakage in a porous medium, transfer of nutrients through a cell wall, and breaks in elastic materials. The study was published in Computers & Mathematics with Applications.
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Source: Phys.org