Numerical solution of Volterra‐Fredholm integral equation via hyperbolic basis functions. (11th November 2020)

• Record Type: Journal Article
• Authors: Esmaeili, Hamid; Rostami, Majid; Hooshyarbakhsh, Vahideh
• Is Part Of: International journal of numerical modelling. Volume 34:Number 2(2021)
• Page Start: n/a
• Page End: n/a
• Publication Date: 2020-11-11
• Subjects: block‐pulse functions -- hyperbolic basis functions -- operational matrix -- Volterra‐Fredholm integral equation; Electric networks -- Mathematical models -- Periodicals; Electronics -- Mathematical models -- Periodicals; 621.3011
• DOI: 10.1002/jnm.2823
• Languages: English
• ISSNs: 0894-3370

Abstract

Abstract: In this paper, a new method using hyperbolic basis functions is presented to solve second kind linear Volterra‐Fredholm integral equation. In other words, our method approximates the solution of a Volterra‐Fredholm integral equation by the hyperbolic basis functions, which produce block‐pulse functions. Hence, the new method reduces the linear Volterra‐Fredholm integral equation to a system of algebraic equations. Some numerical examples are provided to illustrate the computational efficiency and accuracy of the new method.