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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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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