A Hybrid Function Approach to Solving a Class of Fredholm and Volterra Integro-Differential Equations

  • Hosry A
  • Nakad R
  • Bhalekar S
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Abstract

In this paper, we use a numerical method that involves hybrid and block-pulse functions to approximate solutions of systems of a class of Fredholm and Volterra integro-differential equations. The key point is to derive a new approximation for the derivatives of the solutions and then reduce the integro-differential equation to a system of algebraic equations that can be solved using classical methods. Some numerical examples are dedicated for showing the efficiency and validity of the method that we introduce.

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Hosry, A., Nakad, R., & Bhalekar, S. (2020). A Hybrid Function Approach to Solving a Class of Fredholm and Volterra Integro-Differential Equations. Mathematical and Computational Applications, 25(2), 30. https://doi.org/10.3390/mca25020030

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