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

Najeeb Alam KhanAmber ShaikhMuhammad Ayaz — 2017

Waves, Wavelets and Fractals

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...

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