Ali Ebadian, Amir Ahmad Khajehnasiri
Abstract:
The operational block-pulse functions, a well-known method for solving
functional equations, is employed to solve a system of nonlinear
Volterra integro-differential equations. First, we present
the block-pulse operational matrix of integration, then by using
these matrices, the nonlinear Volterra high-order integro-differential
equation is reduced to an algebraic system. The benefits of this method
is low cost of setting up the equations without applying any projection
method such as Galerkin, collocation, etc. The results reveal that
the method is very effective and convenient.
Submitted May 4, 2013. Published February 21, 2014.
Math Subject Classifications: 45G10, 45D05.
Key Words: Operational matrix; Volterra integral equations; block-pulse function.
Show me the PDF file (230 KB), TEX file, and other files for this article.
 |
Ali Ebadian Department of Mathematis, Urmia University Urmia, Iran email: a.ebadian@urmia.ac.ir |
|---|---|
 |
Amir Ahmad Khajehnasiri Department of Mathematis, Urmia University Urmia, Iran. Department of Mathematics, Payame Noor University PO Box 19395-3697 Tehran, Iran email: a.khajehnasiri@gmail.com |
Return to the EJDE web page