Integral Collocation Approximation Methods for the Numerical Solution of High-Orders Linear Fredholm-Volterra Integro-Differential Equations

In this paper, we employed the use of Standard Integral Collocation Approximation Method to obtain numerical solutions of special higher orders linear Fredholm-Volterra Integro-Differential Equations. Power Series, Chebyshev and Legendre's Polynomials forms of approximations are used as basis functions. From the computational view points, the method is efficient, convenient, reliable and superior to many existing methods. Two examples each of first and second orders and one of third order linear Fredholm Volterra Integro-Differential Equations are considered to illustrate the method. We observed from the results obtained that the method performed better when compared with the results obtained in Mustafa and Yalcin (2012).