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2 Results Found

  • Article
  • Open Access
23 Citations
2,844 Views
18 Pages

21 November 2024

This paper presents a novel numerical spectral scheme to handle the time-fractional KdV–Burgers’ equation, which is very important in both physics and engineering. The scheme basically uses the tau approach combined with Gegenbauer polyno...

  • Article
  • Open Access
36 Citations
2,848 Views
13 Pages

High-Accuracy Solutions to the Time-Fractional KdV–Burgers Equation Using Rational Non-Polynomial Splines

  • Miguel Vivas-Cortez,
  • Majeed A. Yousif,
  • Bewar A. Mahmood,
  • Pshtiwan Othman Mohammed and ,
  • Nejmeddine Chorfi and
  • Alina Alb Lupas
  • + 1 author+ 0 author

25 December 2024

A non-polynomial spline is a technique that utilizes information from symmetric functions to solve mathematical or physical models numerically. This paper introduces a novel non-polynomial spline construct incorporating a rational function term to de...

(This article belongs to the Special Issue Symmetry in Mathematical Theory and Simulation Methods for Backward Problems)