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Fixed‐Point Iterative Algorithm for the Linear Fredholm‐Volterra Integro‐Differential Equation

Author

Listed:
  • M. I. Berenguer
  • D. Gámez
  • A. J. López Linares

Abstract

With the aid of fixed‐point theorem (an equivalent version for the linear case) and biorthogonal systems in adequate Banach spaces, the problem of approximating the solution of a linear Fredholm‐Volterra integro‐differential equation is turned into a numerical algorithm, so that it can be solved numerically.

Suggested Citation

  • M. I. Berenguer & D. Gámez & A. J. López Linares, 2012. "Fixed‐Point Iterative Algorithm for the Linear Fredholm‐Volterra Integro‐Differential Equation," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:370894
    DOI: 10.1155/2012/370894
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    References listed on IDEAS

    as
    1. M. I. Berenguer & D. Gámez & A. I. Garralda-Guillem & M. Ruiz Galán & M. C. Serrano Pérez, 2009. "Analytical Techniques for a Numerical Solution of the Linear Volterra Integral Equation of the Second Kind," Abstract and Applied Analysis, Hindawi, vol. 2009, pages 1-12, November.
    2. M. I. Berenguer & D. Gámez & A. I. Garralda-Guillem & M. Ruiz Galán & M. C. Serrano Pérez, 2009. "Analytical Techniques for a Numerical Solution of the Linear Volterra Integral Equation of the Second Kind," Abstract and Applied Analysis, John Wiley & Sons, vol. 2009(1).
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    1. M. I. Berenguer & D. Gámez & A. J. López Linares, 2014. "An Iterative Scheme for Solving Systems of Nonlinear Fredholm Integrodifferential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. M. I. Berenguer & D. Gámez & A. I. Garralda-Guillem & M. C. Serrano Pérez, 2010. "Nonlinear Volterra Integral Equation of the Second Kind and Biorthogonal Systems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).

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