A NUMERICAL SOLUTION OF THE ARBITRARY ORDER WEAKLY SINGULAR INTEGRAL USING BLOCK-PULSE FUNCTIONS AND APPLICATIONS

Authors

  • Hao Song Beihang University - School of Aeronautic Science and Technology
  • Jun Yuang Beihang University - School of Aeronautic Science and Technology
  • Mingxu Yi Beihang University - School of Aeronautic Science and Technology
  • Yalin Pan Beihang University - School of Aeronautic Science and Technology

Keywords:

weakly singular integral, weakly singular integral equation, Block Pulse functions, operational matrix, numerical solution

Abstract

The purpose of this paper is to obtain the approximation of the arbitrary order weakly singular integral using Block-Pulse functions.  The obtained results can be used to solve the numerical solution of higher order linear and nonlinear weakly singular Volterra integral equation of the second kind.  Furthermore, the initial equations are transformed into a system of algebraic equations.  Finally, some examples are given to demonstrate the validity and applicability of this approach, results of these examples show that this new method is an efficient algorithm. 

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Published

2016-07-29

How to Cite

Song, H., Yuang, J., Yi, M., & Pan, Y. (2016). A NUMERICAL SOLUTION OF THE ARBITRARY ORDER WEAKLY SINGULAR INTEGRAL USING BLOCK-PULSE FUNCTIONS AND APPLICATIONS. Italian Journal of Pure and Applied Mathematics, 36, 629–638. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6553

Issue

N°36 - July 2016

Section

Articoli - Forum Editrice

License

Copyright (c) 2016 Hao Song, Jun Yuang, Mingxu Yi, Yalin Pan

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto  Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)