Accurate numerical approximation of nonlinear fourth order Emden-Fowler type equations: A Haar based wavelet-collocation approach

Najeeb Alam Khan, Amber Shaikh, and Muhammad Ayaz. "Accurate numerical approximation of nonlinear fourth order Emden-Fowler type equations: A Haar based wavelet-collocation approach." Waves, Wavelets and Fractals 3.1 (2017): 75-83. <http://eudml.org/doc/288398>.

@article{NajeebAlamKhan2017,
abstract = {The motivation of this paper is to study the fourth order Emden-Fowler equations with initial values by Haarwavelet collocation method(HWCM). In this methodology, differential equations are transformed into a system of linear or nonlinear equations that leads to the value of Haar coefficients and later the solution can be obtained on the entire domain (0, 1]. The fourth order nonlinear test examples are solved at different Haar levels to analyze the accuracy of results. The simplicity and effectiveness of the method made it more attractive than non-perturbative methods found in literature.},
author = {Najeeb Alam Khan, Amber Shaikh, Muhammad Ayaz},
journal = {Waves, Wavelets and Fractals},
keywords = {Emden-Fowler equation; collocation method; integration matrices; Haar wavelet},
language = {eng},
number = {1},
pages = {75-83},
title = {Accurate numerical approximation of nonlinear fourth order Emden-Fowler type equations: A Haar based wavelet-collocation approach},
url = {http://eudml.org/doc/288398},
volume = {3},
year = {2017},
}

TY - JOUR
AU - Najeeb Alam Khan
AU - Amber Shaikh
AU - Muhammad Ayaz
TI - Accurate numerical approximation of nonlinear fourth order Emden-Fowler type equations: A Haar based wavelet-collocation approach
JO - Waves, Wavelets and Fractals
PY - 2017
VL - 3
IS - 1
SP - 75
EP - 83
AB - The motivation of this paper is to study the fourth order Emden-Fowler equations with initial values by Haarwavelet collocation method(HWCM). In this methodology, differential equations are transformed into a system of linear or nonlinear equations that leads to the value of Haar coefficients and later the solution can be obtained on the entire domain (0, 1]. The fourth order nonlinear test examples are solved at different Haar levels to analyze the accuracy of results. The simplicity and effectiveness of the method made it more attractive than non-perturbative methods found in literature.
LA - eng
KW - Emden-Fowler equation; collocation method; integration matrices; Haar wavelet
UR - http://eudml.org/doc/288398
ER -