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June 11, 2026Journal of Nonlinear Mathematical PhysicsOpen Access

The Numerical Treatment of Some Fractional Partial Differential Equations with Error Estimation

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Authors

MFMohamed FathyArab Academy for Science, Technology, and Maritime TransportPAPassant K. AbbassiAin Shams UniversityRER. A. ElbarkokiAin Shams University

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Implication

Randomized trial demonstrates a numerical method for solving fractional PDEs, indicating high efficiency.

Key Points

  • This research aims to develop a numerical method for solving fractional partial differential equations using Legendre polynomials.
  • Extended the Legendre collocation method with a fractional operational matrix.
  • Converted fractional PDE problems into an algebraic system using orthogonal Legendre polynomials.
  • Provided numerical examples to demonstrate the developed method.
  • The developed approach effectively resolves fractional partial differential equations.
  • Error estimation confirms the method's efficiency and reliability.

Cite This Study

Fathy et al. (2026) studied this question.

synapsesocial.com/papers/6a2a510680c8f91e7f39d5b1https://doi.org/10.1007/s44198-026-00407-8
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