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

• Autorzy: Najeeb Alam Khan , Amber Shaikh , Muhammad Ayaz
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Emden-Fowler equation; collocation method; integration matrices; Haar wavelet

• Wydawca: De Gruyter Open
• Czasopismo: Waves, Wavelets and Fractals
• Rocznik: 2017
• Tom: 3
• Numer: 1
• Strony: 75-83

Daty

wydano

2017-12-20

otrzymano

2016-12-24

zaakceptowano

2017-11-17

online

2017-12-29

Twórcy

autor

Najeeb Alam Khan

• 75270,

autor

Amber Shaikh

• 75270,

autor

Muhammad Ayaz

• 75270,

Identyfikatory

DOI

10.1515/wwfaa-2017-0007