Variation Iteration Decomposition Method for the Numerical Solution of Integro-Di erential Equations
1 Department of Mathematics, Delta State University, Abraka, Nigeria.
2 Department of Mathematics, University of Ilorin, P.M.B 1515, Ilorin, Nigeria.
* Corresponding author: njoseh@delsu.edu.ng
2 Department of Mathematics, University of Ilorin, P.M.B 1515, Ilorin, Nigeria.
* Corresponding author: njoseh@delsu.edu.ng
Abstract
This paper seeks the numerical solution of integro-differential equations via the variation iteration decomposition method (VIDM). The mode of convergence of this method as applied toIntegro-differential equations is determined by the step-size parameter, h. The approximate solution converges for h 105+n where n is the number of iterations. Similarly, the method requires no discretization, linearization, or perturbation. We apply the method in the stimulation of numerical examples for the approximate solution of linear and nonlinear Volterra and Fredholm integro-differential equations via Maple 18 software. The resulting numerical evidence shows the method is reliable, effective, and efficient for the numerical solution of integro-differential equations.
Keywords
Nonlinear Integro-differential Equations
Variation iteration method
Lagrange multiplier
Decomposition method
How to Cite
Njoseh, I. N., & Mamadu, E. J. (2016). Variation Iteration Decomposition Method for the Numerical Solution of Integro-Di erential Equations. Nigerian Journal of Mathematics and Applications, 25(1), 122-130.
I. N. Njoseh, and E. J. Mamadu, "Variation Iteration Decomposition Method for the Numerical Solution of Integro-Di erential Equations," Nigerian Journal of Mathematics and Applications, vol. 25, no. 1, pp. 122-130, June 2016.
