A New Scheme Using Cubic B-Spline to Solve Non-Linear Differential Equations Arising in Visco-Elastic Flows and Hydrodynamic Stability Problems

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ID: 113538
2019
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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.
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tassaddiq2019mathematicsa Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors Asifa Tassaddiq;Aasma Khalid;Muhammad Nawaz Naeem;Abdul Ghaffar;Faheem Khan;Samsul Ariffin Abdul Karim;Kottakkaran Sooppy Nisar;Tassaddiq, Asifa;Khalid, Aasma;Naeem, Muhammad Nawaz;Ghaffar, Abdul;Khan, Faheem;Karim, Samsul Ariffin Abdul;Nisar, Kottakkaran Sooppy;
Journal Mathematics
Year 2019
DOI
10.3390/math7111078
URL
https://doi.org/10.3390/math7111078
Keywords
non-linear differential equation cubic b-spline central finite difference approximations absolute errors

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