Numerical Solution of Volterra Integral Equations of the Second Kind Based on Sinc Collocation Method with the Error Function
Keywords:
Sinc function, error function, trapezoidal rule, collocation method, Volterra integral equationsAbstract
The paper investigates the application of error function for the solution of Volterra integral equations of the second kind. Using Sinc spaces of approximation, a collocation procedure was developed with the error function as a variable transformation function for the conversion of the integral equation into algebraic equations. The approximate solution obtained through the algebraic process is studied alongside the approximate solutions based on hyperbolic tanh function over the same interval to compare their rates of convergence based on their deviation from the exact solution. Numerical examples are given to demonstrate the efficiency of this method.
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