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August 20, 2025International Journal for Numerical Methods in Fluids

An Efficient Optimization Approach for Solving Nonlinear Variable‐Order Fractional PDEs With Nonlocal Boundary Conditions

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Authors

ZAZ. AvazzadehADArzu Turan DıncelHHHossein Hassani

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Overview

An optimization algorithm effectively solves nonlinear variable-order fractional PDEs, indicating its promising applications.

Key Points

  • The optimization algorithm effectively handles nonlinear variable-order fractional PDEs with nonlocal boundary conditions, attaining high accuracy.
  • Key results indicate exceptional accuracy in approximating solutions for nonlinear algebraic equations derived from fractional PDEs.
  • This approach utilizes generalized Abel polynomials to transform fractional PDEs into simpler algebraic systems for efficient resolution.
  • The findings suggest potential for broader applications in more complex scenarios, highlighting the method's adaptability.

Cite This Study

Avazzadeh et al. (2025) studied this question.

synapsesocial.com/papers/68af4cebad7bf08b1ead6ceehttps://doi.org/10.1002/fld.70010
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