ISJ Theoretical & Applied Science 07(87) 2020

Philadelphia, USA

Abdirashidov, A., Usanov, F., Kasimova, F., & Ismoilov, X.

Application of approximate methods for solving higher order Voltera integro-differential equations.

Full Article: PDF

Scientific Object Identifier: http://s-o-i.org/1.1/TAS-07-87-51

DOI: https://dx.doi.org/10.15863/TAS.2020.07.87.51

Language: English

Citation: Abdirashidov, A., Usanov, F., Kasimova, F., & Ismoilov, X. (2020). Application of approximate methods for solving higher order Voltera integro-differential equations. ISJ Theoretical & Applied Science, 07 (87), 250-256. Soi: http://s-o-i.org/1.1/TAS-07-87-51 Doi: https://dx.doi.org/10.15863/TAS

Pages: 250-256

Published: 30.07.2020

Abstract: The main aim of the present paper is to implement the homotopy perturbation method, Adomian decomposition method and variational iteration method for to an approximation and exact solution the higher order integro-differential equation Voltera. Implementation of these methods demonstrates the usefulness in finding exact solution for linear and nonlinear problems. Comparison is made between the exact solutions and the results of approximate methods in order to verify the accuracy of the results, revealing the fact that these methods are very effective and simple.

Key words: Voltera integro-differential equation, homotopy perturbation method, Adomian decomposition method, variational iteration method, approximate and exact solution.