Title of article
New homotopy analysis transform algorithm to solve volterra integral equation
Author/Authors
Kumar, Sunil National Institute of Technology - Department of Mathematics, India , Singh, Jagdev Jagan Nath University - Department of Mathematics, India , Kumar, Devendra Jagan Nath Gupta Institute of Engineering and Technology - Department of Mathematics, India , Kapoor, Saurabh THDC Institute of Hydropower Engineering and Technology - Department of Mathematics, Division of Applied Sciences, India
From page
243
To page
246
Abstract
The main aim of the present work is to propose a new and simple algorithm for Volterra integral equation arising in demography, the study of viscoelastic materials, and in insurance mathematics through the renewal equation by using homotopy analysis transform method. The homotopy analysis transform method is an innovative adjustment in Laplace transform algorithm and makes the calculation much simpler. The solutions obtained by proposed method indicate that the approach is easy to implement and computationally very attractive. The beauty of the paper is coupling of two techniques. Finally, two numerical examples are given to show the accuracy and stability of this method.
Keywords
Volterra integral equation , Laplace transform method , Analytic solution , New homotopy analysis transform method
Journal title
Ain Shams Engineering Journal
Journal title
Ain Shams Engineering Journal
Record number
2648920
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