Modeling anomalous heat diffusion: Comparing fractional derivative and non-linear diffusivity treatments

Keyphrases

• Analytical Solution 20%
• Anomalous Diffusion 20%
• Anomalous Heat Diffusion 100%
• Characteristic Length Scale 20%
• Diffusion Behavior 20%
• Diffusivity 40%
• Fourier Equation 20%
• Fourier Heat Conduction Equation 20%
• Fractional Calculus 20%
• Fractional Derivative 100%
• Fractional Heat 20%
• Fractional Spaces 20%
• Gradient Term 20%
• Heat Diffusion Equation 20%
• Moisture Infiltration 20%
• Non-linear Diffusivity 100%
• Nonlinear Flux 20%
• Nonlinear Fractional 20%
• Nonlinear Fractional Equation 20%
• Nonlinearity 20%
• Nonlocality 20%
• Physical Context 20%
• Porous Media 20%
• Space-time Diffusion 20%
• Space-time Fractional 20%
• Space-time Scale 60%
• Spatially Dependent 20%
• Square Root 20%
• Stefan Problem 20%
• Temperature Gradient 20%
• Time Diffusion Equation 20%
• Time Exponent 20%

Mathematics

• Anomalous Diffusion 11%
• Calculus 11%
• Characteristic Length 11%
• Diffusion 100%
• Diffusion Equation 22%
• Heat Conduction Equation 11%
• Length Scale 11%
• Limit Case 11%
• Nonlinear 100%
• Nonlinearity 11%
• Square Root 11%

Physics

• Conductive Heat Transfer 14%
• Diffusion 100%
• Fractional Calculus 100%
• Temperature Gradients 14%