Splines solutions of higher-order BVPs that arise in consistent magnetized force field

A Khalid, A Rehan, KS Nisar, AH Abdel-Aty, M Zakarya - Fractals, 2022 - World Scientific
In this paper, cubic polynomial and nonpolynomial splines are developed to solve solutions
of 10th-and 12th-order nonlinear boundary value problems (BVPs). Such types of BVPs …

An extended 3rd-order B-spline strategy to solve linear BVPs rising in stability analysis of electrically conducting fluid in a magnetic field

A Khalid, A Rehan, MS Osman - International Journal of Modern …, 2022 - World Scientific
In this paper, an extended cubic B Spline scheme (CBS) is utilized to solve linear 10th-order
boundary value problems (BVPs). Such types of BVPs occur in stability analysis of …

[HTML][HTML] Numerical solution of high-order differential equations by using periodized Shannon wavelets

Z Shi, F Li - Applied Mathematical Modelling, 2014 - Elsevier
In this paper, periodized Shannon wavelets are applied as basis functions in solution of the
high-order ordinary differential equations and eigenvalue problem. The first periodized …

An integral transform together with Taylor series and decomposition method for the solution of nonlinear boundary value problems of higher order

EI Akinola, JA Owolabi, S Alao… - Malaysian Journal of …, 2023 - jrmg.um.edu.my
This work aims to determine the approximate solutions of nonlinear boundary value
problems of higher order obtained through the Aboodh Transform Series Decomposition …

[PDF][PDF] Numerical Solution of Twelfth Order Boundary Value Problems Using Homotopy Analysis Method

T Hymavathi, PV Kumar - Journal of Engineering, Computers & Applied …, 2014 - Citeseer
In this paper, we demonstrate homotopy analysis method (HAM) which is a powerful and
easy-to-use technique to solve linear and non-linear boundary value problems. HAM …

Numerical treatment of boundary value problems by solving a system of second kind Fredholm integral equations

C Frammartino - Calcolo, 2013 - Springer
A Nyström method is proposed for solving systems of Fredholm integral equations
equivalent to special boundary value problems of order 2 s. The stability and the …

[PDF][PDF] Shannon Wavelet Analysis with Applications: A Survey

Z Abba𝑠, P Rain𝑎 - researchgate.net
Among the many families of wavelets available in the literature, Shannon wavelets offer
some more specific advantages which are usually missing in the others such as infinite …