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Mirzaee, F., Hoseini, Seyede Fatemeh, Mahdavi Moghadam, Khadijeh. (1394). Delta basis functions and their applications for solving two-dimensional linear fredholm integral equations. سامانه مدیریت نشریات علمی, 4(1), 69-83. doi: 10.22098/jhs.2015.2599
F. Mirzaee; Seyede Fatemeh Hoseini; Khadijeh Mahdavi Moghadam. "Delta basis functions and their applications for solving two-dimensional linear fredholm integral equations". سامانه مدیریت نشریات علمی, 4, 1, 1394, 69-83. doi: 10.22098/jhs.2015.2599
Mirzaee, F., Hoseini, Seyede Fatemeh, Mahdavi Moghadam, Khadijeh. (1394). 'Delta basis functions and their applications for solving two-dimensional linear fredholm integral equations', سامانه مدیریت نشریات علمی, 4(1), pp. 69-83. doi: 10.22098/jhs.2015.2599
Mirzaee, F., Hoseini, Seyede Fatemeh, Mahdavi Moghadam, Khadijeh. Delta basis functions and their applications for solving two-dimensional linear fredholm integral equations. سامانه مدیریت نشریات علمی, 1394; 4(1): 69-83. doi: 10.22098/jhs.2015.2599

Delta basis functions and their applications for solving two-dimensional linear fredholm integral equations

Journal of Hyperstructures
دوره 4، شماره 1، شهریور 2015، صفحه 69-83    اصل مقاله (108.53 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22098/jhs.2015.2599
نویسندگان
F. Mirzaee* 1؛ Seyede Fatemeh Hoseini2؛ Khadijeh Mahdavi Moghadam2
1Department of Mathematics, Faculty of Science, Malayer University, Malayer, 65719- 95863, Iran.
2Faculty of Mathematical Sciences and Statistics, Malayer University, P. O. Box 65719- 95863, Malayer, Iran
چکیده
 In this paper an expansion method, based on twodimensional delta functions (2D-DFs), is developed to find numerical solutions of two-dimensional linear Fredholm integral equations. The main characteristic behind this method is that this method reduce such problems to a system of algebraic equations. Since this approach does not need integration, all calculations can be easily implemented. Finally, we estimate the error of the method, and present two numerical examples to demonstrate the accuracy of the method.
کلیدواژه‌ها
Two-dimensional delta functions؛ Operational matrix؛ Linear Fredholm integral equation
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