Yildiz, BurakBaleanu, DumitruAkman, Tugba2020-03-272025-09-182020-03-272025-09-182018Akman, Tugba; Yildiz, Burak; Baleanu, Dumitru, "New discretization of Caputo-Fabrizio derivative", Computational & Applied Mathematics, Vol. 37, No.3, pp. 3307-3333, (2018)0101-82051807-0302https://doi.org/10.1007/s40314-017-0514-1https://hdl.handle.net/20.500.12416/14295Akman, Tugba/0000-0003-1206-2287We derive a numerical approximation, namely L1-2 formula, to the Caputo-Fabrizio derivative by using a quadratic interpolation. Quadratic and cubic convergence rates are achieved for L1 and L1-2 formulas using Lagrange interpolation, respectively. We compute Caputo-Fabrizio derivatives of some known functions both theoretically and numerically. In addition, we solve non/linear sub-diffusion equations to test theoretical findings. Numerical results confirm the theoretically observed convergence rates.eninfo:eu-repo/semantics/closedAccessCaputo-Fabrizio DerivativeFractional DifferentiationL1 FormulaL1-2 FormulaQuadratic InterpolationArticle10.1007/s40314-017-0514-12-s2.0-85049785995