Iranian Journal of Mathematical Sciences and Informatics
مجله علوم ریاضی و انفورماتیک ایرانیان
IJMSI
Basic Sciences
http://ijmsi.ir
1
admin
1735-4463
2008-9473
8
7
14
8888
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en
jalali
1394
7
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gregorian
2015
10
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10
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online
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fulltext
en
A Successive Numerical Scheme for Some Classes of Volterra-Fredholm Integral Equations
تخصصي
Special
پژوهشي
Research
<p>In this paper, a reliable iterative approach, for solving a wide range of linear and nonlinear Volterra-Fredholm integral equations is established. First the approach considers a discretized form of the integral terms where considering some conditions on the kernel of the integral equation it is proved that solution of the discretized form converges to the exact solution of the problem. Then the solution of the discretized form is approximated by an iterative scheme. Comparison of the approximate solution with exact solution shows that the used approach is easy and practical for some classes of linear and nonlinear Volterra-Fredholm integral equations.</p>
Volterra-Fredholm integral equation, Discretization, Approximation.
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10
http://ijmsi.ir/browse.php?a_code=A-10-583-7&slc_lang=en&sid=en
A.
Hashemi Borzabadi
borzabadi@du.ac.ir
`10031947532846002470`

10031947532846002470
Yes
M.
Heidari
m.heidari27@gmail.com
`10031947532846002471`

10031947532846002471
No