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Open access Oct 2026

Numerical Simulation of the Time-Fractional Nonlinear Schrödinger Equation and the Time-Fractional Schrödinger–Poisson System

This paper presents an efficient localized meshless method for solving the nonlinear time-fractional Schrödinger equation and the time-fractional Schrödinger–Poisson system. The proposed approach consists of two main steps. First, the Caputo time-fractional derivative is approximated using the L1 formula, which has an...

O. Nikan, Zakieh Avazzadeh · 0 citations
Open access Sep 2026

A Haar wavelet-based method for solving nonlinear variable-order fractional integro-differential equations

This paper presents an efficient numerical approach for solving nonlinear variable-order fractional integro-differential equations. The proposed method combines the Haar wavelet collocation method with the Caputo fractional derivative to obtain accurate numerical approximations of the solution. The performance of the m...

Zoreh Moradi, O. Nikan, H. Mesgarani · 0 citations

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