A SIMPLE ALGORITHM FOR SOLVING THE VOLTERRA INTEGRAL EQUATION FEATURING A WEAKLY SINGULAR KERNEL

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ADABITABAR FIROZJA M.; AGHELI B.

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Journal: JOURNAL OF NEW RESEARCHES IN MATHEMATICS Year:2017 | Volume:2 | Issue:8 Page(s): 29-36

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Title

A SIMPLE ALGORITHM FOR SOLVING THE VOLTERRA INTEGRAL EQUATION FEATURING A WEAKLY SINGULAR KERNEL

Author(s)

ADABITABAR FIROZJA M. | AGHELI B. | Issue Writer Certificate

Keywords

WEAKLY SINGULAR VOLTERRA EQUATIONQ1

FUZZY TRANSFORMQ1

BASIC FUNCTIONQ1

Abstract

There are many methods for numerical solutions of integral equations. In various branches of science and engineering, chemistry and biology, and physics applications integral equation is provided by many other authors. In this paper, a simple numerical method using a fuzzy, for the numerical solution of the integral equation with the weak singular kernel is provided. Finally, by providing three examples of the effectiveness of the proposed method was evaluated. In all the calculations and diagrams of the software, Mathematica is used.The advantage of the proposed method is that the algorithm is simple, appropriate and consistent with the exact solution provides a numerical answer. Examples and results presented in the previous section suggest this claim. A fast algorithm for the numerical solution for converting n fuzzy partition is also provided. The speed and simplicity of the algorithm allow any author to obtain a numerical answer with the help of this method it used to take.

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APA: Copy

ADABITABAR FIROZJA, M., & AGHELI, B.. (2017). A SIMPLE ALGORITHM FOR SOLVING THE VOLTERRA INTEGRAL EQUATION FEATURING A WEAKLY SINGULAR KERNEL. JOURNAL OF NEW RESEARCHES IN MATHEMATICS, 2(8), 29-36. SID. https://sid.ir/paper/257280/en

Vancouver: Copy

ADABITABAR FIROZJA M., AGHELI B.. A SIMPLE ALGORITHM FOR SOLVING THE VOLTERRA INTEGRAL EQUATION FEATURING A WEAKLY SINGULAR KERNEL. JOURNAL OF NEW RESEARCHES IN MATHEMATICS[Internet]. 2017;2(8):29-36. Available from: https://sid.ir/paper/257280/en

IEEE: Copy

M. ADABITABAR FIROZJA, and B. AGHELI, “A SIMPLE ALGORITHM FOR SOLVING THE VOLTERRA INTEGRAL EQUATION FEATURING A WEAKLY SINGULAR KERNEL,” JOURNAL OF NEW RESEARCHES IN MATHEMATICS, vol. 2, no. 8, pp. 29–36, 2017, [Online]. Available: https://sid.ir/paper/257280/en

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