TY - JOUR TI - A novel box-type scheme for variable coefficient fractional sub-diffusion equationunder Neumann boundary conditions AU - Zhang Pu AU - Cao Lili JN - Thermal Science PY - 2024 VL - 28 IS - 4 SP - 3435 EP - 3441 PT - Article AB - In this paper, a novel box-type scheme with convergence order O(τ3-α + h2) is constructed for the fractional sub-diffusion equation with spatially variable coefficient under Neumann boundary conditions. Using L2 formula and the energy method, stability of the scheme are proved. A numerical example is carried out and the result meets with the theoretical analysis.