A Novel Computational Method for Coupled Two Point Boundary Value Problem

Ganji Narender; Kamatam Govardhan

doi:10.2478/scjme-2020-0004

.blurhash-client-img { display: none !important; }

A Novel Computational Method for Coupled Two Point Boundary Value Problem

Strojnícky časopis - Journal of Mechanical Engineering

Volume 70 (2020): Issue 1 (April 2020)

By: Ganji Narender and Kamatam Govardhan

Open Access

|May 2020

Abstract

The paper deals with Finite difference Method of solving a boundary value problem involving a coupled pair of system of Ordinary Differential Equations. A novel iterative scheme is given for solving the Finite Difference Equations. Quasi-linearization used to convert a nonlinear problem into a series of linear problems. A problem from a flow of a nanofluid is presented as an example.

References

[1] Liao, S. J. “The proposed homotopy analysis technique for the solution of nonlinear problems”, PhD thesis, Shanghai Jiao Tong University, 1992.
Search in Google Scholar Back to article
[2] Bellman, R., Kalaba, R. “Quasilinearization and Boundary Value Problems”, American Elsevier Publishing Company, New York, 1965.
Search in Google Scholar Back to article
[3] Kapilan N, Manjunath Gowda M., Manjunath H. N. “Computational Fluid Dynamics Analysis of an Evaporative Cooling System”, Strojnícky Časopis – Journal of Mechanical Engineering 66 (2), pp. 117 – 124, 2016. DOI: 10.1515/scjme-2016-0026
Search in Google Scholar Back to article
[4] Gebauber, M., Brzobohaty, T., Blejchar, T., Karasek, T. “Numerical Simulation of Heat Treatment Process of Aluminium Profiles”, Strojnícky časopis – Journal of Mechanical Engineering 69 (3), pp. 43 – 50, 2019. DOI: 10.2478/scjme-2019-0028
Search in Google Scholar Back to article
[5] P. Šlesar, R. Jančo. “Press-fit evaluation and study of displacement in temperature changes“, Strojnícky časopis – Journal of Mechanical Engineering 68 (1), pp. 103 – 108, 2018. DOI: 10.2478/scjme-2018-0011
Search in Google Scholar Back to article
[6] Narender, G. “Computational Techniques on Heat and Mass Transfer in MHD Nanofluid flow over a stretching sheet”, Ph.D. thesis submitted, Jawaharlal Nehru Technological University Hyderabad, HYDERABAD, Telangana State, India, 2020.
Search in Google Scholar Back to article
[7] Khan, W.A., I. Pop. “Boundary-layer flow of a nanofluid past a stretching sheet”, International Journal of Heat Mass Transfer 53, pp. 2477 – 2483, 2010.
Search in Google Scholar Back to article
[8] Varga, R. S. “Matrix Iterative Analysis”, Prentice-Hall, Englewood Cliffs, N.J., 1962.
Search in Google Scholar Back to article

Articles in this issue

DOI: https://doi.org/10.2478/scjme-2020-0004 | Journal eISSN: 2450-5471 | Journal ISSN: 0039-2472

Journal RSS Feed

Language: English

Page range: 39 - 46

Published on: May 13, 2020

Published by: Slovak University of Technology in Bratislava

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Quasi-linearization,

Nanofluid,

Dirichlet Condition,

Finite Difference Method

Related subjects:

Engineering,

Mechanical engineering,

Fundamentals of mechanical engineering,

Mechanics

© 2020 Ganji Narender, Kamatam Govardhan, published by Slovak University of Technology in Bratislava
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 70 (2020): Issue 1 (April 2020)