Numerical solution of fractional bioheat equation by quadratic spline collocation method

DOI10.22436/jnsa.009.07.09zbMath1352.65399OpenAlexW2793945165MaRDI QIDQ2828081

Yanmei Qin, Kai-Teng Wu

Publication date: 24 October 2016

Published in: Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: http://www.tjnsa.com/includes/files/articles/Vol9_Iss7_5061--5072_Numerical_solution_of_fractional_bi.pdf

zbMATH Keywords

stabilityconvergencenumerical exampleheat transferhyperthermiacancer therapyquadratic spline collocation methodfractional bioheat equation

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Medical applications (general) (92C50) Heat equation (35K05) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fractional partial differential equations (35R11)

Related Items (4)

Time-fractional diffusion with mass absorption under harmonic impact ⋮ Fractional heat conduction with heat absorption in a sphere under Dirichlet boundary condition ⋮ Time-Fractional Heat Conduction with Heat Absorption in a Half-Line Domain Due to Boundary Value of the Heat Flux Varying Harmonically in Time ⋮ Generalized wavelet method for solving fractional bioheat transfer model during hyperthermia treatment

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