...

  • Home
  • Articles
    • Current Issue
    • Archives
  • Authors
    • Author Guidelines
    • Policies
    • Downloads
  • Editors
  • Reviewers
...

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 44 | Number 2 | Year 2017 | Article Id. IJMTT-V44P512 | DOI : https://doi.org/10.14445/22315373/IJMTT-V44P512

A Comparative Study of Boundary Value Problem with Iterative method


Rajkumar Meel, Yogesh Khandelwal, Hosiyar Singh
Abstract

In this paper we give some special equation with B.V.P. further, to solve some Boundary Value Problem. We use iterative method. That is Newton Age iterative method to solve nonliner equation. We show that the compassion b/w the Newton Age method and SOR method using the finite difference formulation with exact solution of boundary value method. The New Age iterative method gives such a manner that the solution retains their accuracy and even order in the vicinity of the singularity. The proposed New-Age iterative method shows the superiority over the corresponding SOR iterative method.

Keywords
Partial Differential Equation, principle part, Boundary value problem, New AGE method
References

[1] Al-said and M.A. Noor; Numerical solution of third – order system of B.V.P., Appl.math.comput.,190: (2007) 332 – 383.
[2] JAIN, M.K., IYENGAR, S.R.K. and JAIN,R.K.,(1993) Numerical Methods for Scientific and Engineering Computation, 3rdEd: Wiley Eastern Ltd: ..
[3] EVANS, D. J. and AHMAD, A.R.,(1996). Comparison of SOR and AGE Methods for Solution of the Two-Point Boundary Value Problem, Advances in Engineering Software
[4] FOX, L.,(1962) Numerical Solution of Ordinary and Partial Differential Equations, Pergamon Press.
[5] EVANS, D. J.,(1999). Iterative Methods for Solving Non-Linear Two Point Boundary Value Problems, Int. J. Computer Math.
[6] EVANS, D. J., (1985). Group Explicit Methods for Solving Large Linear Systems, Int. J. Computer Math., 17, 81-108.
[7] KELLER, H. B.,(1968). Numerical Methods for Two Point Boundary Value Problem, Blaisdell Pub. Co..
[8] BENSON, A. The Numerical Solution of Partial Differential Equations by Finite Difference Methods, Ph.D. Thesis, Sheffield University.
[9] VARGA, R. S.,(1962). Matrix Iterative Analysis, Prentice- Hall, Englewood Cliffs, New Jersey.
[10] CHAWLA, M. M.,(1978). A Fourth Order Tri-diagonal Finite Difference Method for General Non-linear Two Point Boundary Value Problems with Mixed Boundary Conditions, J. Inst. Maths. Applics.
[11] SANJAY, YOGESH KHANDELWAL et.al (2017), Application of Alternate Group Explicit Method for Linear Boundary Value Problems IOSR Journal of Mathematics (IOSR-JM) e-ISSN: 2278-5728, p-ISSN: 2319-765X. Volume 13, Issue 2 Ver. III (Mar. - Apr. 2017), PP 61-65

Citation :

Rajkumar Meel, Yogesh Khandelwal, Hosiyar Singh, "A Comparative Study of Boundary Value Problem with Iterative method," International Journal of Mathematics Trends and Technology (IJMTT), vol. 44, no. 2, pp. 61-63, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V44P512

  • PDF
  • Abstract
  • Keywords
  • References
  • Citation
Abstract Keywords References Citation
  • Home
  • Authors Guidelines
  • Paper Submission
  • APC
  • Archives
  • Downloads
  • Open Access
  • Publication Ethics
  • Copyrights Infringement
  • Journals
  • FAQ
  • Contact Us

Follow Us

Copyright © 2025 Seventh Sense Research Group® . All Rights Reserved