1
Department of Electrical Engineering, Islamshahr Branch, Islamic Azad University, Tehran, Iran.
2
Department of Mathematics, Islamshahr Branch, Islamic Azad University, Tehran, Iran.
Abstract
This article proposes a fast and accurate expansion-iterative method for solving second kind linear Volterra integral equations. The method is based on a special representation of vector forms of triangular functions (TFs) and their operational matrix of integration. By using this approach, solving the integral equation reduces to solve a recurrence relation. The approximate solution of integral equation is iteratively produced via the recurrence relation.
Hatamzadeh-Varmazyar, S., & Masouri, Z. (2018). A Fast and Accurate Expansion-Iterative Method for Solving Second Kind Volterra Integral Equations. International Journal of Industrial Mathematics, 10(1), 29-37.
MLA
S. Hatamzadeh-Varmazyar; Z. Masouri. "A Fast and Accurate Expansion-Iterative Method for Solving Second Kind Volterra Integral Equations". International Journal of Industrial Mathematics, 10, 1, 2018, 29-37.
HARVARD
Hatamzadeh-Varmazyar, S., Masouri, Z. (2018). 'A Fast and Accurate Expansion-Iterative Method for Solving Second Kind Volterra Integral Equations', International Journal of Industrial Mathematics, 10(1), pp. 29-37.
VANCOUVER
Hatamzadeh-Varmazyar, S., Masouri, Z. A Fast and Accurate Expansion-Iterative Method for Solving Second Kind Volterra Integral Equations. International Journal of Industrial Mathematics, 2018; 10(1): 29-37.
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