A hyperbolic-system-based finite difference method achieves uniformly fifth-order accurate solutions and gradients for anisotropic diffusion independent of anisotropy degree.
Nishikawa, First-, second-, and third-order finite-volume schemes for diffusion, Journal of Com- putational Physics 256 (2014) 791–805
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First order hyperbolic approach for Anisotropic Diffusion equation
A hyperbolic-system-based finite difference method achieves uniformly fifth-order accurate solutions and gradients for anisotropic diffusion independent of anisotropy degree.