LEARNING ON THE MATHEMATICAL EXPLANATION OF PARTIAL DIFFERENTIAL EQUATION

Main Article Content

Ramehar
Rupender Singh

Abstract

Differential equations (PDE/ODEs) form the basis of many mathematical models of physical, chemical and biological phenomena, and more recently their use has spread into economics, financial forecasting, image processing and other fields. It is not easy to get analytical solution treatment of these equations, so, to investigate the predictions of PDE models of such phenomena it is often necessary to approximate their solution numerically.In most cases, the approximate solution is represented by functional values at certain discrete points (grid points or mesh points). There seems a bridge between the derivatives in the PDE and the functional values at the grid points. The numerical technique is such a bridge, and the corresponding approximate solution is termed the numerical solution.

Article Details

How to Cite
Ramehar, & Rupender Singh. (2021). LEARNING ON THE MATHEMATICAL EXPLANATION OF PARTIAL DIFFERENTIAL EQUATION. Galaxy International Interdisciplinary Research Journal, 9(8), 23–27. Retrieved from https://giirj.com/index.php/giirj/article/view/198
Section
Articles

References

A. Kumar, D. Garg, P. Goel, Mathematical modeling and behavioural analysis of a washing unit in paper mill, International Journal of System Assurance Engineering and Management, 1(6), (2019), 1639-1645.

A. Kumar, D. Garg, P. Goel Mathematical modelling and profit analysis of an edible oil refinery industry, Airo International Research Journal, 12, (2017), 1-8.

A. Kumar, D. Garg, P. Goel Sensitivity Analysis of a Cold Standby System with Priority for Preventive Maintenance, Journal of Advance and Scholarly Researches in Allied Education, 16(4), (2019), 253-258.

Wang, Q.: Numerical solutions for fractional KdV–Burgers equation by Adomian decomposition method. Appl. Math. Comput. 182(2), 1048–1055 (2016)

Khan, N.A., Khan, N.-U., Ayaz, M., Mahmood, A., Fatima, N.: Numerical study of time-fractional fourth-order differential equations with variable coefficients. J. King Saud Univ., Sci. 23(1), 91–98 (2015).