An operational matrix method to solve linear Fredholm–Volterra integro‑differential equations with piecewise intervals
Künye
Öztürk, Y., Gülsu, M.: An operational matrix method to solve linear Fredholm–Volterra integro-differential equations with piecewise intervals. Mathematical Sciences. (2021).Özet
In recent times, operational matrix methods become overmuch popular. Actually, we have many more operational matrix methods. In this study, a new remodeled method is offered to solve linear Fredholm-Volterra integro-differential equations (FVIDEs) with piecewise intervals using Chebyshev operational matrix method. Using the properties of the Chebyshev polynomials, the Chebyshev operational matrix method is used to reduce FVIDEs into a linear algebraic equations. Some numerical examples are solved to show the accuracy and validity of the proposed method. Moreover, the numerical results are compared with some numerical algorithm.