Department of Electrical Engineering, Islamshahr Branch, Islamic Azad University, Tehran, Iran.
Abstract
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.
Hatamzadeh-Varmazyar, S., & Masouri, Z. (2019). Numerical Solution of Second Kind Volterra and Fredholm Integral Equations Based on a Direct Method Via Triangular Functions. International Journal of Industrial Mathematics, 11(2), 79-87.
MLA
S. Hatamzadeh-Varmazyar; Z. Masouri. "Numerical Solution of Second Kind Volterra and Fredholm Integral Equations Based on a Direct Method Via Triangular Functions". International Journal of Industrial Mathematics, 11, 2, 2019, 79-87.
HARVARD
Hatamzadeh-Varmazyar, S., Masouri, Z. (2019). 'Numerical Solution of Second Kind Volterra and Fredholm Integral Equations Based on a Direct Method Via Triangular Functions', International Journal of Industrial Mathematics, 11(2), pp. 79-87.
VANCOUVER
Hatamzadeh-Varmazyar, S., Masouri, Z. Numerical Solution of Second Kind Volterra and Fredholm Integral Equations Based on a Direct Method Via Triangular Functions. International Journal of Industrial Mathematics, 2019; 11(2): 79-87.
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