Malaysian Journal of Mathematical Sciences, August 2016, Vol. 10(S)
Special Issue: The 7th International Conference on Research and Education in Mathematics (ICREM7)
Multistep Block Method for Solving Volterra Integro-Differential Equations
N. A. Mohamed and Z. A. Majid
Corresponding Email: [email protected]
Received date: -
Accepted date: -
Abstract:
In this paper, we use multistep block method for solving linear and nonlinear Volterra integro-differential equations (VIDEs) of the second kind. The VIDEs will be solved by using the combination of multistep block method of order three and Newton-Cotes quadrature rule of suitable order. The proposed method will solve VIDEs for $K(x, s) = 1$ and $K(x, s) \neq 1$. The stability region of the method will be given. Numerical problems are included to represent the performance of the proposed method.
Keywords: Volterra integro-differential equations, multistep block method, quadrature rule
