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April 22, 2026Boundary Value ProblemsOpen Access

A numerical technique for solving nonlinear fractional PDEs

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Authors

MHMousa J. Huntul

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Overview

A numerical method addresses nonlinear fractional PDEs, improving accuracy and stability in complex modeling.

Key Points

  • The aim is to develop a numerical technique for solving a specific nonlinear fractional PDE involving both time and space derivatives.
  • Developed a numerical method using Caputo and Riesz derivatives.
  • Applied a direct quadratic polynomial interpolation for the Caputo derivative.
  • Discretized the Riesz derivative with a fractional centered difference scheme.
  • The method shows improved stability and convergence under stated conditions.
  • Numerical examples confirm theoretical accuracy and highlight the method’s effectiveness against nonlinear effects.
  • Observed convergence orders reinforce the method's applicability to complex problems.

Cite This Study

Mousa J. Huntul (2026) studied this question.

synapsesocial.com/papers/69e866416e0dea528ddeaae5https://doi.org/10.1186/s13661-026-02280-2
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