An efficient method for solving system of Volterra integral equations

作者：Nouni Kazem^*

来源：Kybernetes, 2012, 41(3-4): 501-507.

DOI：10.1108/03684921211229550

• Mathematics
• Integral equations
• Polynomials
• Volterra integral equation
• System of first and second kind
• Algebraic system
• Discretization
• Collocation method
• Chebyshev polynomials

Purpose - The purpose of this paper is to discuss a numerical method for solving system of Volterra integral equations.
Design/methodology/approach - An expansion method known as Chebyshev collocation method is chosen to convert the system of integral equations to the linear algebraic system of equations, so by solving the linear algebraic system an approximate solution is concluded.
Findings - Some numerical results support the accuracy and efficiency of the stated method.
Originality/value - The paper presents a method for solving first and second kind system of integral equations.

• 出版日期2012