An approximate solution to the transient space-fractional diffusion equation: Integral-balance approach, optimization problems and analyzes
This paper presents approximate analytical solutions of an initial-boundary value problem of fractional partial differential diffusion equation with spatial Riemann-Liouville fractional derivative. The proposed approximate solutions are based on the concept of a finite penetration depth with the int...
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Veröffentlicht in: | Thermal science 2017-01, Vol.21 (1 Part A), p.309-321 |
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Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | This paper presents approximate analytical solutions of an initial-boundary value problem of fractional partial differential diffusion equation with spatial Riemann-Liouville fractional derivative. The proposed approximate solutions are based on the concept of a finite penetration depth with the integral-balance method and series expansions of the assumed parabolic profile with undefined exponent. Optimization problems referring to optimal exponents of the assumed parabolic have been developed. |
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ISSN: | 0354-9836 2334-7163 |
DOI: | 10.2298/TSCI160113075H |