Development of High-Order Adaptive Spectral–Galerkin Schemes for Multi Dimensional Nonlinear Fractional Differential Equations

Mohamed Hasan Sallal

Development of High-Order Adaptive Spectral–Galerkin Schemes for Multi Dimensional Nonlinear Fractional Differential Equations

Authors

Mohamed Hasan Sallal

Keywords:

Fractional differential equations; Spectral–Galerkin method; Adaptive pseudo spectral operator; High-order numerical scheme; Nonlinear multi-dimensional systems.

Abstract

This paper presents an adaptive symmetric pseudo-spectral fractional operator for temporalapproximation and a high-order adaptive spectral–Galerkin framework with Legendre polynomial bases for spatial

References

S. Banerjee, M.K. Hassan, S. Mukherjee, and A. Gowrisankar, Fractal Patterns in Nonlinear Dynamics and Applications, CRC Press, (2020).

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Published

2025-11-05

How to Cite

Mohamed Hasan Sallal. (2025). Development of High-Order Adaptive Spectral–Galerkin Schemes for Multi Dimensional Nonlinear Fractional Differential Equations. Journal of Computational Analysis and Applications (JoCAAA), 34(10), 302–315. Retrieved from https://eudoxuspress.com/index.php/pub/article/view/4009