📚 Volume 32, Issue 12 📋 ID: fQ3H3lB

Authors

Oluwaseun Diallo , Ivan Melnyk, Natalia Schneider, Oluwaseun Schneider

Department of Mathematics, University of Ibadan, Ibadan, Nigeria

Keywords

Fractional Telegraph Equation Chebyshev Wavelet Collocation Method Numerical Solution Time-Fractional Computational Mathematics

Abstract

In this paper, an efficient and accurate Chebyshev wavelet collocation method is developed for the numerical solution of the time-fractional telegraph equation. The proposed approach achieves high accuracy with a relatively small number of grid points. A notable advantage of the method is its suitability for boundary value problems, as the boundary conditions are inherently satisfied within the formulation.
The numerical results obtained are in close agreement with the exact solutions, thereby confirming the reliability of the method. Several examples are presented to illustrate the effectiveness, simplicity, and applicability of the Chebyshev wavelet-based numerical scheme.
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📝 How to Cite

Oluwaseun Diallo , Ivan Melnyk, Natalia Schneider, Oluwaseun Schneider (2025). "Numerical Solution of the Time-Fractional Telegraph Equation Using an Improved Computational Method". Wulfenia, 32(12).