Numerical Solution of Second Kind Volterra and Fredholm Integral Equations Based on a Direct Method Via Triangular Functions

نویسندگان

  • S. Hatamzadeh-Varmazyar Department of Electrical Engineering‎, ‎Islamshahr Branch‎, ‎Islamic Azad University‎, ‎Tehran‎, ‎Iran.
  • Z. Masouri Department of Electrical Engineering‎, ‎Islamshahr Branch‎, ‎Islamic Azad University‎, ‎Tehran‎, ‎Iran.
چکیده مقاله:

A numerical method for solving linear integral equations of the second kind is formulated. Based on a special representation of vector forms of triangular functions and the related operational matrix of integration, the integral equation reduces to a linear system of algebraic equations. Generation of this system needs no integration, so all calculations can easily be implemented. Numerical results for some examples show that the method has a good accuracy.

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عنوان ژورنال

دوره 11  شماره 2

صفحات  79- 87

تاریخ انتشار 2019-04-01

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