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.
CITATION STYLE
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
Mendeley helps you to discover research relevant for your work.