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• W3118455846 abstract "Abstract This paper considers a novel numerical method based on Lucas‐fractional Lucas functions (L‐FL‐Fs) and collocation method for solving the distributed‐order time‐fractional diffusion equations. In the current investigation, we express the new computational process to gain the integral operational matrix for Lucas polynomials (LPs) and fractional Lucas functions (FLFs). The proposed method creates operational matrices with high accuracy that affect to accuracy and efficiency of the computational scheme directly. The operational matrices, by combining Legendre–Gauss quadrature rule and collocation method, reduce the given distributed‐order time‐fractional diffusion equation to a system of algebraic equations. Also, we investigate the error estimation associated with the presented idea. At last, several examples are given to demonstrate the accuracy and easy implementation of the proposed method." @default.
• W3118455846 created "2021-01-18" @default.
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• W3118455846 date "2021-01-05" @default.
• W3118455846 modified "2023-09-23" @default.
• W3118455846 title "An improved numerical technique for distributed‐order time‐fractional diffusion equations" @default.
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• W3118455846 doi "https://doi.org/10.1002/num.22731" @default.
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