Solving the problems related to shortest distance using He’s variational iteration method and theory of variational problems with moving boundaries

Downloads

Abstract

In this paper we considered two variational problems related to shortest distance with moving boundaries. These
problems are solved by applying the variational iteration method. It is observed that at the first iteration the exact
solution is reached by using the variational iteration method

Keywords:

Variational method, moving boundaries, transversality condition

Mathematics Subject Classification:

Mathematics
  • E. Rama Department of Mathematics, University College of Science, Saifabad, Osmania University, Hyderabad, Telangana State, India
  • A. Chandulal Department of Mathematics, National Sanskrit University, Tirupati, Andhra Pradesh, India.
  • K. Sambaiah Former Professor of Mathematics, Kakatiya University, Warangal, Telangana, India.
  • Pages: 886-889
  • Date Published: 01-01-2021
  • Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)

Baojian Hong and Dianchen Lu , Modified fractional variational iteration method for solving the generalized time-space fractional Schrodinger equation, The Scientific World Journal, (2014), PMC4170824.

J.H. He, A new approach to nonlinear partial differential equations, Communications in Nonlinear Science and Numerical Simulation, 2(4)(1997), 230-235.

$mathrm{Ji}-H u a n mathrm{He}$ and $mathrm{Xu}-$ Hong $mathrm{Wu}$, Variational Iteration Method: New development and applications, Computers and Mathematics Applications, 4(2007), 881-894.

Necdet Bildik and Ali Konuralp, Two-dimensional differential transform method, Adomian's decomposition method, and variational iteration method for partial differential equations, Int. J. of Computer Mathematics, 83(2006), 973-987.

E. Rama, K. Somaiah and K. Sambaiah, A study of variational iteration method for solving various types of problems, Malaya Journal of Matematik, 9(1)(2021), 701708.

Saeid Abbasbandy, Elyas Shivanian, Applications of the variational iteration method for system of non-linear Volterra's integro-differential equations, Mathematical and Computational Applications, 14(2)(2009), 147-158.

A.M. Wazwaz, A reliable algorithm for obtaining positive solutions for nonlinear boundary value problems, Computers and Mathematics with Applications, 41(2001), $1237-1244$

Metrics

Metrics Loading ...

Published

01-01-2021

How to Cite

E. Rama, A. Chandulal, and K. Sambaiah. “Solving the Problems Related to Shortest Distance Using He’s Variational Iteration Method and Theory of Variational Problems With Moving Boundaries”. Malaya Journal of Matematik, vol. 9, no. 01, Jan. 2021, pp. 886-9, https://www.malayajournal.org/index.php/mjm/article/view/1184.