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arXiv · 1801.05569

Hybrid functions approach to solve a class of Fredholm and Volterra integro-differential equations

Aline Hosry·Roger Nakad·Sachin Bhalekar
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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 efficiency and validity of the method that we introduce.

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Aline Hosry, Roger Nakad, Sachin Bhalekar. 2018-01-17. Hybrid functions approach to solve a class of Fredholm and Volterra integro-differential equations. https://doi.org/10.3390/mca25020030

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