Electron. J. Diff. Equ.,
Vol. 2014 (2014), No. 54, pp. 1-9.
Block-pulse functions and their applications to solving systems of
higher-order nonlinear Volterra integro-differential equations
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.
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Ali Ebadian
Department of Mathematis, Urmia University
Urmia, Iran
email: a.ebadian@urmia.ac.ir
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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
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