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

100%

Khan N. A., Shaikh A., Ayaz M.

Waves, Wavelets and Fractals

2017

tom 3

nr 1

75-83

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.

A Numerical Approach of the sentinel method for distributed parameter systems

100%

Traore A., Mampassi B., Saley B.

Open Mathematics

2007

tom 5

nr 4

751-763

In this paper we consider the problem of detecting pollution in some non linear parabolic systems using the sentinel method. For this purpose we develop and analyze a new approach to the discretization which pays careful attention to the stability of the solution. To illustrate convergence properties we give some numerical results that present good properties and show new ways for building discrete sentinels.

Ograniczanie wyników

1 Open Mathematics

1 Waves, Wavelets and Fractals

1 Ayaz M.

1 Khan N. A.

1 Mampassi B.

1 Saley B.

1 Shaikh A.

1 Traore A.

1 2017

1 2007

Wyniki wyszukiwania

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

A Numerical Approach of the sentinel method for distributed parameter systems