Spline Collocation for Solving System of Fredholm and Volterra Integral Equations

In this paper, numerical solution of system of
Fredholm and Volterra integral equations by means of the Spline
collocation method is considered. This approximation reduces the
system of integral equations to an explicit system of algebraic
equations. The solution is collocated by cubic B-spline and the
integrand is approximated by the Newton-Cotes formula. The error
analysis of proposed numerical method is studied theoretically. The
results are compared with the results obtained by other methods to
illustrate the accuracy and the implementation of our method.

• N. Ebrahimi
• J. Rashidinia

• Convergence analysis
• Cubic B-spline
• Newton- Cotes formula
• System of Fredholm and Volterra integral equations.

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