Application of He's Variational Iteration Method to Solve Semidifferential Equations of 𝑛th Order

Application of He's Variational Iteration Method to Solve Semidifferential Equations of 𝑛th Order

He's variational iteration method is applied to solve 𝑛th order semidifferential equations. Comparison is made between collocation spline method based on Lagrange interpolation and the present method. In this method, the solution is calculated in the form of a convergent series with an easily c...

Full description

Bibliographic Details
Main Authors: Asghar Ghorbani, Abdolsaeed Alavi
Format: Article
Language:English
Published: Hindawi Limited 2008-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2008/627983
id doaj-0c23c733e7e14908a384f59ee2e61210
record_format Article
spelling doaj-0c23c733e7e14908a384f59ee2e612102020-11-24T21:14:34ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472008-01-01200810.1155/2008/627983627983Application of He's Variational Iteration Method to Solve Semidifferential Equations of 𝑛th OrderAsghar Ghorbani0Abdolsaeed Alavi1Department of Mathematics, School of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, IranDepartment of Mathematics, Faculty of Sciences, Payame Noor University, Bandare Torkman, IranHe's variational iteration method is applied to solve 𝑛th order semidifferential equations. Comparison is made between collocation spline method based on Lagrange interpolation and the present method. In this method, the solution is calculated in the form of a convergent series with an easily computable component. This approach does not need linearization, weak nonlinearity assumptions, or perturbation theory. Some examples are given to illustrate the effectiveness of the method; the results show that He's method provides a straightforward and powerful mathematical tool for solving various semidifferential equations of the 𝑛th order.http://dx.doi.org/10.1155/2008/627983
collection DOAJ
language English
format Article
sources DOAJ
author Asghar Ghorbani
Abdolsaeed Alavi
spellingShingle Asghar Ghorbani
Abdolsaeed Alavi
Application of He's Variational Iteration Method to Solve Semidifferential Equations of 𝑛th Order
Mathematical Problems in Engineering
author_facet Asghar Ghorbani
Abdolsaeed Alavi
author_sort Asghar Ghorbani
title Application of He's Variational Iteration Method to Solve Semidifferential Equations of 𝑛th Order
title_short Application of He's Variational Iteration Method to Solve Semidifferential Equations of 𝑛th Order
title_full Application of He's Variational Iteration Method to Solve Semidifferential Equations of 𝑛th Order
title_fullStr Application of He's Variational Iteration Method to Solve Semidifferential Equations of 𝑛th Order
title_full_unstemmed Application of He's Variational Iteration Method to Solve Semidifferential Equations of 𝑛th Order
title_sort application of he's variational iteration method to solve semidifferential equations of 𝑛th order
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2008-01-01
description He's variational iteration method is applied to solve 𝑛th order semidifferential equations. Comparison is made between collocation spline method based on Lagrange interpolation and the present method. In this method, the solution is calculated in the form of a convergent series with an easily computable component. This approach does not need linearization, weak nonlinearity assumptions, or perturbation theory. Some examples are given to illustrate the effectiveness of the method; the results show that He's method provides a straightforward and powerful mathematical tool for solving various semidifferential equations of the 𝑛th order.
url http://dx.doi.org/10.1155/2008/627983
work_keys_str_mv AT asgharghorbani applicationofhesvariationaliterationmethodtosolvesemidifferentialequationsofnthorder
AT abdolsaeedalavi applicationofhesvariationaliterationmethodtosolvesemidifferentialequationsofnthorder
_version_ 1716746664889286656

Similar Items