A Novel Hybrid Approach to Approximate fractional Sub-Diffusion Equation

Document Type : Research Paper

Authors

School of Mathematics and Computer Science, Iran University of Science and Technology, Narmak 16844, Tehran, Iran.

Abstract

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.

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Main Subjects



Articles in Press, Accepted Manuscript
Available Online from 16 June 2024
  • Receive Date: 14 October 2023
  • Revise Date: 11 June 2024
  • Accept Date: 15 June 2024