An efficient wavelet method for nonlinear problems arising in heat transfer
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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… read more here.
Keywords: method; wavelet method; efficient wavelet; heat transfer ... See more keywords
Numerical solutions of fractional delay differential equations using Chebyshev wavelet method
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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… read more here.
Keywords: method numerical; solutions fractional; chebyshev wavelet; wavelet method ... See more keywords
The comparison of two reliable methods for the accurate solution of fractional Fisher type equation
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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… read more here.
Keywords: wavelet method; method; fisher type; haar wavelet ... See more keywords
A New Bernoulli Wavelet Method for Numerical Solutions of Nonlinear Weakly Singular Volterra Integro-Differential Equations
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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… read more here.
Keywords: nonlinear weakly; wavelet method; method; bernoulli wavelet ... See more keywords
Asymptotics for $L_{1}$-wavelet method for nonparametric regression
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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… read more here.
Keywords: method nonparametric; wavelet method; nonparametric regression; rate ... See more keywords