Study on Solving Two-dimensional Linear and Nonlinear Volterra Partial Integro-differential Equations by Reduced Differential Transform Method

Authors

Seyyedeh Roodabeh Moosavi Noori, University of Guilan
Nasir Taghizadeh, University of Guilan

Abstract

In this article, we study on the analytical and numerical solution of two-dimensional linear and nonlinear Volterra partial integro-differential equations with the appropriate initial condition by means of reduced differential transform method. The advantage of this method is its simplicity in using, it solves the problem directly without the need for linearization, perturbation, or any other transformation and gives the solution in the form of convergent power series with elegantly computed components. The validity and efficiency of this method are illustrated by considering five computational examples.

Recommended Citation

Moosavi Noori, Seyyedeh Roodabeh and Taghizadeh, Nasir (2020). Study on Solving Two-dimensional Linear and Nonlinear Volterra Partial Integro-differential Equations by Reduced Differential Transform Method, Applications and Applied Mathematics: An International Journal (AAM), Vol. 15, Iss. 1, Article 22.
Available at: https://digitalcommons.pvamu.edu/aam/vol15/iss1/22