A Note on Solving Prandtl's Integro-Differential Equation
سال انتشار: 1396
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 132
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شناسه ملی سند علمی:
JR_IJMAC-7-4_002
تاریخ نمایه سازی: 28 دی 1401
چکیده مقاله:
A simple method for solving Prandtl's integro-differential equation is proposed based on a new reproducing kernel space. Using a transformation and modifying the traditional reproducing kernel method, the singular term is removed and the analytical representation of the exact solution is obtained in the form of series in the new reproducing kernel space. Compared with known investigations, its advantages are that the representation of the exact solution is obtained in a reproducing kernel Hilbert space and accuracy in numerical computation is higher. On the other hand, the approximate solution and its derivatives converge uniformly to the exact solution and its derivatives. The final numerical experiments illustrate the method is efficient.
کلیدواژه ها:
Reproducing Kernel Space ، Singular integro-differential equation of Prandtl's type ، Hypersingular integral equation ، Error estimation
نویسندگان
Atta Dezhbord
Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan ۶۵۱۳۸, Iran
Taher Lotfi
Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan ۶۵۱۳۸, Iran