Numerical solutions of higher order boundary value problems via wavelet approach

SU Arifeen, S Haq, A Ghafoor, A Ullah… - Advances in Difference …, 2021 - Springer
This paper presents a numerical scheme based on Haar wavelet for the solutions of higher
order linear and nonlinear boundary value problems. In nonlinear cases, quasilinearization …

Numerical solution of higher order boundary value problems

SS Siddiqi, M Iftikhar - Abstract and Applied Analysis, 2013 - Wiley Online Library
The aim of this paper is to use the homotopy analysis method (HAM), an approximating
technique for solving linear and nonlinear higher order boundary value problems. Using …

[PDF][PDF] Numerical solution of tenth order boundary value problems by galerkin method with quintic B-splines

KK Viswanadham, S Ballem - Int. J. Appl. Sci. Eng, 2014 - ijism.org
In this paper, we present a finite element method involving Galerkin method with quintic B-
splines as basis functions to solve a general tenth order boundary value problem. The basis …

[HTML][HTML] A reliable algorithm for higher order boundary value problems

M Qayyum, Q Fatima, ST Saeed, A Akgül… - Alexandria Engineering …, 2023 - Elsevier
In this manuscript, extension of residual power series method (RPSM) is proposed for
ordinary differential equations with boundary conditions. The extended algorithm is tested …

[HTML][HTML] A novel wavelet based hybrid method for finding the solutions of higher order boundary value problems

G Arora, R Kumar, H Kaur - Ain Shams Engineering Journal, 2018 - Elsevier
In this paper, a new wavelet based hybrid method is developed for obtaining the solution of
higher order linear and nonlinear boundary value problems. The proposed method is based …

Numerical solution of eighth order boundary value problems by Galerkin method with septic B-splines

S Ballem, KNSK Viswanadham - Procedia Engineering, 2015 - Elsevier
A finite element method involving Galerkin method with septic B-splines as basis functions
has been solved the eighth order boundary value problems The basis functions are …

[PDF][PDF] Solution of thirteenth order boundary value problems by differential transformation method

M Iftikhar, HU Rehman, M Younis - Asian Journal of Mathematics …, 2014 - scienceasia.asia
The aim of this paper is to use the differential transformation method (DTM), a semi-
numerical and semi-analytic technique for solving linear and nonlinear thirteenth order …

[HTML][HTML] Efficient numerical scheme for the solution of tenth order boundary value problems by the Haar wavelet method

R Amin, K Shah, I Khan, M Asif, M Salimi, A Ahmadian - Mathematics, 2020 - mdpi.com
In this paper, an accurate and fast algorithm is developed for the solution of tenth order
boundary value problems. The Haar wavelet collocation method is applied to both linear …

Numerical solution for solving special eighth-order linear boundary value problems using Legendre Galerkin method

Z Elahi, G Akram, SS Siddiqi - Mathematical Sciences, 2016 - Springer
In this paper, Galerkin method has been introduced using Legendre polynomials as basis
functions over the interval-1, 1-1, 1 to solve the eighth-order linear boundary value problems …

[HTML][HTML] A Legendre-homotopy method for the solutions of higher order boundary value problems

M Sadaf, G Akram - Journal of King Saud University-Science, 2020 - Elsevier
In this paper, the Legendre-homotopy analysis method is proposed using orthogonal
Legendre polynomials for the approximate solutions of linear and nonlinear higher order …