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A shooting like method based on the shifted Chebyshev polynomials for solving nonlinear fractional multi-point boundary value problem

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  • Azarnavid, Babak
  • Emamjomeh, Mahdi
  • Nabati, Mohammad

Abstract

An iterative shooting-like method based on the shifted Chebyshev polynomials is proposed for solving the nonlinear fractional boundary value problems with the multi-point boundary conditions. The proposed method can be applied easily to various nonlocal linear boundary conditions. Here, we investigate the convergence of the proposed method for the nonlinear problems with the multi-point boundary condition. We investigate the convergence of the proposed method for the nonlinear problems with the multi-point boundary conditions. The obtained numerical results confirm the theoretical results and show the efficiency and accuracy of the proposed method.

Suggested Citation

  • Azarnavid, Babak & Emamjomeh, Mahdi & Nabati, Mohammad, 2022. "A shooting like method based on the shifted Chebyshev polynomials for solving nonlinear fractional multi-point boundary value problem," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    • Handle: RePEc:eee:chsofr:v:159:y:2022:i:c:s0960077922003691
    DOI: 10.1016/j.chaos.2022.112159
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    References listed on IDEAS

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    3. Bashir Ahmad & Juan J. Nieto, 2009. "Existence of Solutions for Nonlocal Boundary Value Problems of Higher-Order Nonlinear Fractional Differential Equations," Abstract and Applied Analysis, Hindawi, vol. 2009, pages 1-9, July.
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