@inproceedings{4df8fc39bffc4a7bb85505cb8295662a,
title = "Numerical solution of the arbitrary order weakly singular integral equation using Block Pulse functions",
abstract = "In this paper, an approximate formulation of the arbitrary order weakly singular integral is acquired by using Block-Pulse functions. The formulation contributes a numerical scheme for solving the higher order linear and nonlinear weakly singular Volterra integral equation of the second kind. By implementing the Block-Pulse functions and the approximation, the considered equations will be reduced to a system of algebraic equations. Also, the error analyses of the suggested numerical method are provided. Some examples are considered to demonstrate the efficiency and accuracy of proposed numerical approach.",
keywords = "Block pulse functions, Error analysis, Numerical solution, Operational matrix, Weakly singular integral, Weakly singular integral equation",
author = "Hao Song and Mingxu Yi",
year = "2016",
language = "英语",
series = "Lecture Notes in Engineering and Computer Science",
publisher = "Newswood Limited",
pages = "48--51",
editor = "Len Gelman and Hukins, \{David W.L.\} and Ao, \{S. I.\} and Ao, \{S. I.\} and Len Gelman and Ao, \{S. I.\} and Korsunsky, \{Alexander M.\} and Andrew Hunter",
booktitle = "WCE 2016 - World Congress on Engineering 2016",
address = "香港特别行政区",
note = "World Congress on Engineering 2016, WCE 2016 ; Conference date: 29-06-2016 Through 01-07-2016",
}