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Impact of Numerical Technique on The Solution of Boundary Value Problem

Nisu Jain1

Section:Research Paper, Product Type: Journal-Paper
Vol.7 , Issue.3 , pp.45-53, Jun-2020


Online published on Jun 30, 2020


Copyright © Nisu Jain . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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IEEE Style Citation: Nisu Jain, “Impact of Numerical Technique on The Solution of Boundary Value Problem,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.7, Issue.3, pp.45-53, 2020.

MLA Style Citation: Nisu Jain "Impact of Numerical Technique on The Solution of Boundary Value Problem." International Journal of Scientific Research in Mathematical and Statistical Sciences 7.3 (2020): 45-53.

APA Style Citation: Nisu Jain, (2020). Impact of Numerical Technique on The Solution of Boundary Value Problem. International Journal of Scientific Research in Mathematical and Statistical Sciences, 7(3), 45-53.

BibTex Style Citation:
@article{Jain_2020,
author = {Nisu Jain},
title = {Impact of Numerical Technique on The Solution of Boundary Value Problem},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {6 2020},
volume = {7},
Issue = {3},
month = {6},
year = {2020},
issn = {2347-2693},
pages = {45-53},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1936},
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1936
TI - Impact of Numerical Technique on The Solution of Boundary Value Problem
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Nisu Jain
PY - 2020
DA - 2020/06/30
PB - IJCSE, Indore, INDIA
SP - 45-53
IS - 3
VL - 7
SN - 2347-2693
ER -

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Abstract :
A comparison of orthogonal collocation method (OCM) and orthogonal collocation on finite elements (OCFE) is done to solve boundary value problem numerically and analytically. Both numerical techniques are applied on dimensionless form of the model, then equations are discretized using numerical techniques. The results are obtained by MATLAB ODE 15s system solver software. Comparison is shown both in tabulated and graphical form. Relative error is used to check the efficiency of the technique. 3-D graphs are used to specify solution variation for different values of parameter.

Key-Words / Index Term :
OCM; OCFE; Boundary Value Problems; Laplace Transformation

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