A new scheme using cubic B-spline to solve non-linear differential equations arising in visco-elastic flows and hydrodynamic stability problems

Tassaddiq, A. and Khalid, A. and Naeem, M.N. and Ghaffar, A. and Khan, F. and Karim, S.A.A. and Nisar, K.S. (2019) A new scheme using cubic B-spline to solve non-linear differential equations arising in visco-elastic flows and hydrodynamic stability problems. Mathematics, 7 (11). ISSN 22277390

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Abstract

This study deals with the numerical solution of the non-linear differential equations (DEs) arising in the study of hydrodynamics and hydro-magnetic stability problems using a new cubic B-spline scheme (CBS). The main idea is that we have modified the boundary value problems (BVPs) to produce a new system of linear equations. The algorithm developed here is not only for the approximation solutions of the 10th order BVPs but also estimate from 1st derivative to 10th derivative of the exact solution as well. Some examples are illustrated to show the feasibility and competence of the proposed scheme. © 2019 by the authors.

Item Type: Article
Additional Information: cited By 14
Depositing User: Mr Ahmad Suhairi UTP
Date Deposited: 10 Nov 2023 03:25
Last Modified: 10 Nov 2023 03:25
URI: https://khub.utp.edu.my/scholars/id/eprint/11155

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