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Title
Haar wavelet collocation method for solving singular and nonlinear fractional time-dependent Emden–Fowler equations with initial and boundary conditions
Type of Research Article
Keywords
Emden–Fowler equations; Singular fractional problem; Numerical solution; Haar wavelets; Picard technique
Abstract
In this paper, we have applied an iterative method to the singular and nonlinear fractional partial differential of Emden–Fowler equations types. Haar wavelets operational matrix of fractional integration will be used to solve the problem with the Picard technique. The singular equations turn to Sylvester equations that will be solved so that numerically solvable is very cost- effective. Moreover, the proposed technique is reliable enough to overcome the difficulty of the singular point at x=0 . Numerical examples are providing to illustrate the efficiency and accuracy of the technique.
Researchers Amir Mohammadi (First Researcher)، Nasser Aghazadeh (Second Researcher)، Shahram Rezapour (Third Researcher)