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Published in 2021 at "Engineering With Computers"
DOI: 10.1007/s00366-021-01437-0
Abstract: In this article, we study the heat transfer problems which typically occur in nonlinear models. Since nonlinearity causes time-consuming and difficulty in finding analytical solutions, we focus on the Chebyshev wavelets method which is a…
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Keywords:
method;
wavelet method;
efficient wavelet;
heat transfer ... See more keywords
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Published in 2019 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-019-0953-y
Abstract: In the present research article, we used a new numerical technique called Chebyshev wavelet method for the numerical solutions of fractional delay differential equations. The Caputo operator is used to define fractional derivatives. The numerical…
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Keywords:
method numerical;
solutions fractional;
chebyshev wavelet;
wavelet method ... See more keywords
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1
Published in 2017 at "Engineering Computations"
DOI: 10.1108/ec-03-2017-0074
Abstract: Purpose The purpose of this paper is the comparative analysis of Haar Wavelet Method and Optimal Homotopy Asymptotic Method for fractional Fisher type equation. In this paper, two reliable techniques, Haar wavelet method and optimal…
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Keywords:
wavelet method;
method;
fisher type;
haar wavelet ... See more keywords
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Published in 2017 at "International Journal of Computational Methods"
DOI: 10.1142/s0219876217500220
Abstract: In this paper, Bernoulli wavelet method has been developed to solve nonlinear weakly singular Volterra integro-differential equations. Bernoulli wavelets are generated by dilation and translation of Bernoulli polynomials. The properties of Bernoulli wavelets and Bernoulli…
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Keywords:
nonlinear weakly;
wavelet method;
method;
bernoulli wavelet ... See more keywords
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1
Published in 2020 at "Journal of Inequalities and Applications"
DOI: 10.1186/s13660-020-02483-w
Abstract: Wavelets are particularly useful because of their natural adaptive ability to characterize data with intrinsically local properties. When the data contain outliers or come from a population with a heavy-tailed distribution, $L_{1}$ -estimation should obtain…
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Keywords:
method nonparametric;
wavelet method;
nonparametric regression;
rate ... See more keywords