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Approximate Analytical Solutions of the Fractional‐Order Brusselator System Using the Polynomial Least Squares Method

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Listed:
  • Constantin Bota
  • Bogdan Căruntu

Abstract

The paper presents a new method, called the Polynomial Least Squares Method (PLSM). PLSM allows us to compute approximate analytical solutions for the Brusselator system, which is a fractional‐order system of nonlinear differential equations.

Suggested Citation

  • Constantin Bota & Bogdan Căruntu, 2015. "Approximate Analytical Solutions of the Fractional‐Order Brusselator System Using the Polynomial Least Squares Method," Advances in Mathematical Physics, John Wiley & Sons, vol. 2015(1).
    • Handle: RePEc:wly:jnlamp:v:2015:y:2015:i:1:n:450235
    DOI: 10.1155/2015/450235
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    References listed on IDEAS

    as
    1. Odibat, Zaid & Momani, Shaher, 2008. "Modified homotopy perturbation method: Application to quadratic Riccati differential equation of fractional order," Chaos, Solitons & Fractals, Elsevier, vol. 36(1), pages 167-174.
    2. H. Jafari & Abdelouahab Kadem & D. Baleanu, 2014. "Variational Iteration Method for a Fractional‐Order Brusselator System," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    3. H. Jafari & Abdelouahab Kadem & D. Baleanu, 2014. "Variational Iteration Method for a Fractional-Order Brusselator System," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, March.
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