April 2019 A new method for the solution of Volterra-Fredholm integro-differential equations
Yousef Jafarzadeh, Reza Ezzati
Tbilisi Math. J. 12(2): 59-66 (April 2019). DOI: 10.32513/tbilisi/1561082567

Abstract

In the present study, we investigate the hybrid of Taylor series and Block pulse functions solutions of higher order linear integro-differential Volterra-Fredholm equations (IDVFE) by using a new method. This method transforms IDVFE into the matrix equations which correspond to a system of linear algebraic equations. Some numerical results are also given to illustrate the efficiency of the method.

Citation

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Yousef Jafarzadeh. Reza Ezzati. "A new method for the solution of Volterra-Fredholm integro-differential equations." Tbilisi Math. J. 12 (2) 59 - 66, April 2019. https://doi.org/10.32513/tbilisi/1561082567

Information

Received: 30 June 2018; Accepted: 7 March 2019; Published: April 2019
First available in Project Euclid: 21 June 2019

zbMATH: 07172312
MathSciNet: MR3973259
Digital Object Identifier: 10.32513/tbilisi/1561082567

Subjects:
Primary: 45-XX
Secondary: 65-xx

Keywords: Convergence analysis , hybrid of Taylor polynomial and block pulse functions , Integro-differential equation , Volterra-Fredholm equations

Rights: Copyright © 2019 Tbilisi Centre for Mathematical Sciences

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Vol.12 • No. 2 • April 2019
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