This article introduces a new numerical hybrid approach based on an operational matrix and spectral technique to solve Caputo fractional sub-diffusion equations. This method transforms the model into a set of nonlinear algebraic equation systems. Chebyshev polynomials are used as basis functions. The study includes theoretical analysis to demonstrate the convergence and error bounds of the proposed method. Two test problems are conducted to illustrate the method’s accuracy. The results indicate the efficiency of the proposed method.
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Molavi-Arabshahi, M. , Rashidinia, J. and Yousefi, M. (2025). A novel hybrid approach to approximate fractional sub-diffusion equation. Computational Methods for Differential Equations, 13(2), 420-431. doi: 10.22034/cmde.2024.58832.2491
MLA
Molavi-Arabshahi, M. , , Rashidinia, J. , and Yousefi, M. . "A novel hybrid approach to approximate fractional sub-diffusion equation", Computational Methods for Differential Equations, 13, 2, 2025, 420-431. doi: 10.22034/cmde.2024.58832.2491
HARVARD
Molavi-Arabshahi, M., Rashidinia, J., Yousefi, M. (2025). 'A novel hybrid approach to approximate fractional sub-diffusion equation', Computational Methods for Differential Equations, 13(2), pp. 420-431. doi: 10.22034/cmde.2024.58832.2491
CHICAGO
M. Molavi-Arabshahi , J. Rashidinia and M. Yousefi, "A novel hybrid approach to approximate fractional sub-diffusion equation," Computational Methods for Differential Equations, 13 2 (2025): 420-431, doi: 10.22034/cmde.2024.58832.2491
VANCOUVER
Molavi-Arabshahi, M., Rashidinia, J., Yousefi, M. A novel hybrid approach to approximate fractional sub-diffusion equation. Computational Methods for Differential Equations, 2025; 13(2): 420-431. doi: 10.22034/cmde.2024.58832.2491
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