other · 2019

Variational Iteration Method

Snehashish Chakraverty, Nisha Rani Mahato, Perumandla Karunakar, Tharasi Dilleswar Rao

Cited by 2Abstract and details only

Abstract

The variational iteration method (VIM) is one of the well-known semi-analytical methods for solving linear and nonlinear ordinary as well as partial differential equations. The main advantage of the method lies in its flexibility and ability to solve nonlinear equations easily. The method can be used in bounded and unbounded domains as well. By this method one can find the convergent successive approximations of the exact solution of the differential equations if such a solution exists. Wazwaz used the VIM for solving the linear and nonlinear Volterra integral and integro-differential equations and explained clearly how to use this method for solving homogenous and inhomogeneous partial differential equations. This chapter solves few test problems using the present method to make the readers familiar with the method. As such, two linear nonhomogeneous partial differential equations are handled in two examples, and a nonlinear partial differential equation has been solved in other example.

Cite this paper

APA 7

Chakraverty, S., Mahato, N. R., Karunakar, P., & Rao, T. D. (2019). Variational Iteration Method. https://doi.org/10.1002/9781119423461.ch13

MLA 9

Chakraverty, Snehashish, et al. “Variational Iteration Method.” 2019, pp. 141–47, https://doi.org/10.1002/9781119423461.ch13.

Chicago

Chakraverty, Snehashish, Nisha Rani Mahato, Perumandla Karunakar, and Tharasi Dilleswar Rao. 2019. “Variational Iteration Method.” https://doi.org/10.1002/9781119423461.ch13.

Harvard

Chakraverty, S. et al. (2019) ‘Variational Iteration Method’. Available at: https://doi.org/10.1002/9781119423461.ch13.

BibTeX

@misc{chakraverty2019variational,
  title = {{Variational Iteration Method}},
  author = {Chakraverty, Snehashish and Mahato, Nisha Rani and Karunakar, Perumandla and Rao, Tharasi Dilleswar},
  pages = {141--147},
  year = {2019},
  doi = {10.1002/9781119423461.ch13}
}

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