Open Science Repository Mathematics

doi: 10.7392/openaccess.70081992


Approximate Solution for the System of Non-linear Volterra Integral Equations of the Second Kind by Five Block-by-block Method


Chinar S. Ahmed

University of Garmian/Kalar – Faculty of Education– Department of Mathematics – Kurdistan Region - Iraq


Abstract

In this paper, the block method modified and applied to find a numerical solutions for the system of non-linear Volterra integral equations of the second kind (NSVIEK2). Since it is an efficient numerical method for solving this system, which avoids the need for special starting values, the method has also the advantages of simplicity of application and gives high accuracy which is clarified by numerical examples.

Keywords: five block-by-block, system of non-linear Volterra integral equations.



Citation: Ahmed, C. S. (2013). Approximate Solution for the System of Non-linear Volterra Integral Equations of the Second Kind by Five Block-by-block Method. Open Science Repository Mathematics, Online(open-access), e70081992. doi:10.7392/openaccess.70081992

Received: July 22, 2013

Published: July 24, 2013

Copyright: © 2013 Ahmed, C. S. Creative Commons Attribution 3.0 Unported License.

Contact: research@open-science-repository.com



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APA

Ahmed, C. S. (2013). Approximate Solution for the System of Non-linear Volterra Integral Equations of the Second Kind by Five Block-by-block Method. Open Science Repository Mathematics, Online(open-access), e70081992. doi:10.7392/openaccess.70081992

MLA

Ahmed, Chinar S. “Approximate Solution for the System of Non-linear Volterra Integral Equations of the Second Kind by Five Block-by-block Method.” Open Science Repository Mathematics Online.open-access (2013): e70081992.

Chicago

Ahmed, Chinar S. “Approximate Solution for the System of Non-linear Volterra Integral Equations of the Second Kind by Five Block-by-block Method.” Open Science Repository Mathematics Online, no. open-access (July 24, 2013): e70081992. doi:10.7392/openaccess.70081992.

Harvard

Ahmed, C.S., 2013. Approximate Solution for the System of Non-linear Volterra Integral Equations of the Second Kind by Five Block-by-block Method. Open Science Repository Mathematics, Online(open-access), p.e70081992. Available at: http://www.open-science-repository.com/mathematics-70081992.html.

Science

1. C. S. Ahmed, Approximate Solution for the System of Non-linear Volterra Integral Equations of the Second Kind by Five Block-by-block Method, Open Science Repository Mathematics Online, e70081992 (2013).

Nature

1. Ahmed, C. S. Approximate Solution for the System of Non-linear Volterra Integral Equations of the Second Kind by Five Block-by-block Method. Open Science Repository Mathematics Online, e70081992 (2013).


doi

Research registered in the DOI resolution system as: 10.7392/openaccess.70081992.


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This work is licensed under a Creative Commons Attribution 3.0 Unported License.