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Z. Naturforsch. 67a, 674 – 678 (2012)
doi:10.5560/ZNA.2012-0078
A Novel Analytical Implementation of Nonlinear Volterra Integral Equations
Majid Khan, Muhammad Asif Gondal, and Syeda Iram Batool
Department of Sciences and Humanities, National University of Computer and Emerging Sciences Islamabad, Pakistan
Received November 16, 2011 / revised July 18, 2012 / published online October 17, 2012
Reprint requests to: M. K.; E-mail: mk.cfd1@gmail.com
This article aims at preferring a new and viable algorithm, specifically a two-step homotopy perturbation transform algorithm (TSHPTA). This novel technique is a feasible way in finding exact solutions with a small amount of calculations. As a simple but typical example, it demonstrates the strength and the great potential of the two-step homotopy perturbation transform method to solve nonlinear Volterra-type integral equations efficiently. The results reveal that the proposed scheme is suitable for the nonlinear Volterra equations.
Key words: Two Step Homotopy Perturbation Transforms Algorithm; Nonlinear Volterra Integral Equations.
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