A method for singular weakly linear Volterra-Integro-differential equations by Euler polynomials.

In this paper, a collocation technique is employed with the help of Euler polynomials to obtain the numerical solution of singular weakly linear Volterra- integro-differential equations. The main feature of this technique is that approximate solutions will be obtained in the form of algebraic equations. Error analysis is shown in the Euler series solution of weakly linear Volterra- integro-differential equations. At last, few numerical problems are solved with the help of the presented technique to present the high accuracy and excellent behavior of the suggested technique in comparison with some other well-known methods. [ABSTRACT FROM AUTHOR]