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Bernstein Collocation Method for Solving Nonlinear Fredholm‐Volterra Integrodifferential Equations in the Most General Form

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  • Ayşegül Akyüz-Daşcıoğlu
  • Neşe İşler Acar
  • Coşkun Güler

Abstract

A collocation method based on the Bernstein polynomials defined on the interval [a, b] is developed for approximate solutions of the Fredholm‐Volterra integrodifferential equation (FVIDE) in the most general form. This method is reduced to linear FVIDE via the collocation points and quasilinearization technique. Some numerical examples are also given to demonstrate the applicability, accuracy, and efficiency of the proposed method.

Suggested Citation

  • Ayşegül Akyüz-Daşcıoğlu & Neşe İşler Acar & Coşkun Güler, 2014. "Bernstein Collocation Method for Solving Nonlinear Fredholm‐Volterra Integrodifferential Equations in the Most General Form," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:134272
    DOI: 10.1155/2014/134272
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    References listed on IDEAS

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    1. Sudhakar G. Pandit, 1997. "Quadratically converging iterative schemes for nonlinear Volterra integral equations and an application," International Journal of Stochastic Analysis, Hindawi, vol. 10, pages 1-10, January.
    2. Bashir Ahmad & Rehmat Ali Khan & S. Sivasundaram, 2003. "Generalized quasilinearization method for nonlinear functional differential equations," International Journal of Stochastic Analysis, Hindawi, vol. 16, pages 1-11, January.
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