Numerical solution of Volterra‐Fredholm integral equation via hyperbolic basis functions.

Autor:	Esmaeili, Hamid, Rostami, Majid, Hooshyarbakhsh, Vahideh
Předmět:	NUMERICAL solutions to integral equations VOLTERRA equations HYPERBOLIC functions ALGEBRAIC equations INTEGRAL equations
Zdroj:	International Journal of Numerical Modelling; Mar/Apr2021, Vol. 34 Issue 2, p1-11, 11p
Abstrakt:	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. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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