LEARNING PROCEEDING SPLINE TECHNIQUES WITH A ALLUSION OF PARTIAL DIFFERENTIAL EQUATIONS
Main Article Content
Abstract
In the modern era, fractional order differential equations have gained a significant amount of research work due to their wide range of applications in various branches of science and engineering such as physics, electrical networks, fluid mechanics, control theory, theory of Viscoelasticity, neurology, and theory of electromagnetic acoustics.The spline approximation techniques have been applied extensively for numerical solution of ODEs and PDEs. The spline functions have a variety of significant gains over finite difference schemes. These functions provide a continuous differentiable estimation to solution over the whole spatial domain with great accuracy. The straightforward employment of spline functions provides a solid ground for applying them in the context of numerical approximations for initial/boundary problems.
Article Details
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
References
Ahlberg J H, Nilson E N AndWals J N (2015), The Theory of Spline And Their Application. Academic Press, N.Y.
Bhatt R V (2015): “An Extended Study Of The Spline Collocation Approach To Partial Differential Equations”, Thesis, South Gujarat University, Surat.
Doctor H D and Kalthia N L (2013) - Spline Approximation of Boundary Value Problems. Presented at Annual Conf.of Indian math.Soc, 49
Fyfe D J (2015) -The Use Of Cubic Splines In Solutions Of Two Point Boundary Value Problems, Com.P.J, 12,188-192.
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.