Programming Approach to Investigate the Effect of Field Variable for Numerical Approximation Techniques

• Published in: IUP Journal of Mechanical Engineering Vol. 5; no. 3; p. 15
• Main Authors: Deoghare, A B, Patil, Ajinkya, Sawarkar, Nitin, Zade, Kiran
• Format: Journal Article
• Language: English
• Published: Hyderabad IUP Publications 01.08.2012
• ISSN: 0974-6536

The modern treatment to solve differential equations of problems relies heavily on approximation methods. To keep the discussion simple, while maintaining a general formulation of practical interest in engineering, the model problem considered is of an axially loaded bar having quadratic function of area. The unknown variable is the axial displacement of one dimensional continuum, u(x), which is attempted in the present research by means of numerical analysis technique where the basic inputs to a problem are known with arbitrary basic data. Numerically evaluating differential and integral is rather a common and usually stable task. Attempting the numerical solution with different approximation methods leads to errors while solving differential equations of the system. A genuine necessity for obtaining precise solution for the different numerical approximation methods is overcome by developing an in-house computer program. The developed code is resourceful enough to conquer the calculation result from round-off of arithmetic processes or truncation. The program is interactive and user-friendly in operation to change the desired inputs. Graphical results can be displayed to know the effect of considered weights and the constants assumed.