A novel algorithm based on spectral confluent Appell-Changhee polynomials for solving nonlinear models arising in mathematical physics

Articles in Press

Document Type : Research Paper

Authors

1 Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt.

2 Department of Mathematics, College of Science, Qassim University, Buraydah, Saudi Arabia.

Abstract

The main objective of this research work is to construct an approximate solution to the fractional Cahn-Allen (CA) problem, the time fractional wave-like (WL) problem and the time fractional Korteweg-de Vries (KdV) problem using Caputo fractional derivative. The proposed method based on the spectral confluent Appell-Changhee collocation algorithm coupled with residual power series (RPS) approach. The error bound of the proposed method are discussed in detail. The simulation results obtained are illustrated in both graphs and tables. The numerical results obtained are compared with other published techniques. The results show that the presented method is efficient, accurate and robust, and thus can be applied to both complex linear and nonlinear problems.

Keywords

Main Subjects

Computational Methods for Differential Equations

Articles in Press, Accepted Manuscript
Available Online from 08 June 2026

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History

  • Receive Date: 21 February 2025
  • Revise Date: 15 May 2026
  • Accept Date: 06 June 2026

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