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Second order of Volterra integro-differential equations using direct two point hybrid block method


Citation

Janodi, Mohd Razaie and Abdul Majid, Zanariah (2019) Second order of Volterra integro-differential equations using direct two point hybrid block method. Discovering Mathematics, 41 (1). pp. 13-21. ISSN 2231-7023

Abstract

A direct method is implemented for the numerical solution of second-order Volterra integro-differential equations (VIDEs). The formulation of two-point hybrid block method will be discussed in this paper to solve second order VIDEs directly without reducing the equations into first order system. The proposed method of order four will calculate the computing solutions using constant step size. The quadrature rule has been used to approximate the integral part. Numerical results of linear and nonlinear VIDEs are presented and show that the hybrid block method is appropriate for solving second order VIDEs directly.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
Publisher: Malaysian Mathematical Sciences Society and Universiti Putra Malaysia Universiti Putra Malaysia
Keywords: Direct method; Hybrid block method; Volterra integro-differential equations
Depositing User: Mr. Sazali Mohamad
Date Deposited: 08 Sep 2021 21:06
Last Modified: 08 Sep 2021 21:06
URI: http://psasir.upm.edu.my/id/eprint/82076
Statistic Details: View Download Statistic

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