Estimating the Error of Field Variable for Numerical Approximation Techniques Using Matlab

Nitin Sawarkar, Bhushan Mahajan, Manoj Baseshankar, Dnyaneshwar Kawadkar
Volume 1: Issue 1, Jan 2014, pp 15-20

Author's Information
Nitin Sawarkar1 
Corresponding Author
1M.Tech. Heat Power Engg., Department of Mechanical Engineering, G. H. Raisoni College of Engineering, Nagpur, Maharashtra, India

Bhushan Mahajan,2 Manoj Baseshankar,2 Dnyaneshwar Kawadkar2
2Assistant Professor, Department of Mechanical Engineering,Bhausaheb Mulik College of Engineering, Nagpur, India.

Technical Article -- Peer Reviewed
Published online – 30 Dec 2013

Open Access article under Creative Commons License

Cite this article – Nitin Sawarkar, Bhushan Mahajan, Manoj Baseshankar, Dnyaneshwar Kawadkar “Estimating the Error of Field Variable for Numerical Approximation Techniques Using Matlab”, International Journal of Analytical, Experimental and Finite Element Analysis, RAME Publishers, vol. 1, issue 1, pp. 15-20, Jan 2014.

The various scientific laws, principles are used to develop mathematical models. Often the differential equations are used to describe the system. But, formulating the differential equations for most problems is difficult and hence obtaining the solutions by exact methods of analysis is a formidable task. The present research discusses the issue of the finding the field variable deviation for quadratic area of one dimensional continuum. The analysis provides the percentage error in the field variable for the selected trial functions. Approximate method is useful, if it is integrated with computer for the problem involving a number of complexities without making drastic assumption which otherwise complicated to attempt by classical methods. A genuine necessity for obtaining precise solution for the different numerical approximation methods is overcome by developing in-house computer program. Graphically results can be displayed to know the effect of considered weights and the constants assumed.
Index Terms:-
Numerical methods, Field variable, MATLAB, Mathematical modeling.
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