Solving volterra integral equation via nonlinear programming
2016 ◽
Vol 5
(4)
◽
pp. 192
Keyword(s):
In this paper we propose an approach to find approximate solution to the nonlinear Volterra integral equation of the second type through a nonlinear programming technique by firstly converting the integral equation into a least square cost function as an objective function for an unconstrained nonlinear programming problem which solved by a nonlinear programming technique (The preconditioned limited- memory quasi-Newton conjugates, gradient method) and as far as we read this is a new approach in the ways of solving the nonlinear Volterra integral equation. We use Maple 11 software as a tool for performing the suggested steps in solving the examples.
2014 ◽
Vol 35
(1)
◽
pp. 37-42
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2019 ◽
Vol 65
(5)
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pp. 139-142
2014 ◽
Vol 59
(3)
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pp. 303-317
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1986 ◽
Vol 35
(1)
◽
pp. 82-89
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1973 ◽
Vol 14
(1)
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pp. 106-120
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