Differential transform method for solving Volterra integral equation with separable kernels

Authors:
Zaid M. Odibat
Affiliations:
Prince Abdullah Bin Ghazi Faculty of Science and IT, Al-Balqa' Applied University, Salt 19117, Jordan
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2008

Citing 0
Cited 6

Solving a class of two-dimensional linear and nonlinear Volterra integral equations by the differential transform method

Journal of Computational and Applied Mathematics
A multi-step differential transform method and application to non-chaotic or chaotic systems

Computers & Mathematics with Applications
Application of the fractional differential transform method to fractional-order integro-differential equations with nonlocal boundary conditions

Journal of Computational and Applied Mathematics
Numerical study of the solution of the Burgers and coupled Burgers equations by a differential transformation method

Computers & Mathematics with Applications
Solutions of two-dimensional integral equation systems by using differential transform method

AMERICAN-MATH'11/CEA'11 Proceedings of the 2011 American conference on applied mathematics and the 5th WSEAS international conference on Computer engineering and applications
Differential transform method for the system of two-dimensional nonlinear Volterra integro-differential equations

Computers & Mathematics with Applications

Quantified Score

Hi-index	0.98

Visualization

Abstract

In this paper, Volterra integral equations with separable kerenels are solved using the differential transform method. The approximate solution of this equation is calculated in the form of a series with easily computable terms. Exact solutions of linear and nonlinear integral equations have been investigated and the results illustrate the reliability and the performance of the differential transform method.