Malaysian Journal of Mathematical Sciences, October 2014, Vol. 8(S)
Special Issue: International Conference on Mathematical Sciences and Statistics 2013 (ICMSS2013)
Spectral Homotopy Analysis Method for Solving Nonlinear Volterra Integro Differential Equations
Zohreh Pashazadeh Atabakan, Aliasghar Kazemi Nasab and Adem Kilicman
Corresponding Email: [email protected]
Received date: -
Accepted date: -
Abstract:
In this paper we proposed Spectral Homotopy analysis method to solve nonlinear Volterra integro-differential equations .Some examples are given to approve the efficiency and the accuracy of the proposed method. The SHAM results show that the proposed approach is quite reasonable when compared to homotopy analysis method and exact analytical solutions.
Keywords: Homotopy analysis method, spectral homotopy analysis method, Clenshaw-Curtis quadrature formula, Volterra integro-differential equations
