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 transform the model into a set of nonlinear algebraic equation system. Chebyshev polynomials are used as basis function. 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.
Molavi-Arabshahi, M., Rashidinia, J., & Yousefi, M. (2024). A Novel Hybrid Approach to Approximate fractional Sub-Diffusion Equation. Computational Methods for Differential Equations, (), -. doi: 10.22034/cmde.2024.58832.2491
MLA
Mahboubeh Molavi-Arabshahi; Jalil Rashidinia; Mahnaz Yousefi. "A Novel Hybrid Approach to Approximate fractional Sub-Diffusion Equation". Computational Methods for Differential Equations, , , 2024, -. doi: 10.22034/cmde.2024.58832.2491
HARVARD
Molavi-Arabshahi, M., Rashidinia, J., Yousefi, M. (2024). 'A Novel Hybrid Approach to Approximate fractional Sub-Diffusion Equation', Computational Methods for Differential Equations, (), pp. -. 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, 2024; (): -. doi: 10.22034/cmde.2024.58832.2491
)