Rational wavelets and their application for solving the heat transfer equations in porous medium
type: Item
instance of: scholarly article
title: Rational wavelets and their application for solving the heat transfer equations in porous medium
zbMATH Open document ID: 1452.65423
published in: International Journal of Applied and Computational Mathematics
publication date: 2018-10-15T00:00:00Z
review text: The authors introduce rational Bernoulli wavelets on the interval \([0,\, \infty)\). For these wavelets, the operational matrix of the derivative is constructed. Finally, this theory is applied to the numerical solution of a boundary value problem of a nonlinear differential equation of third order which describes the heat transfer in a porous medium.
reviewed by: Manfred Tasche
Mathematics Subject Classification ID: 65T60
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 42C40
Mathematics Subject Classification ID: 76S05
zbMATH DE Number: 6954792
zbMATH Keywords: rational Bernoulli wavelet
zbMATH Keywords: wavelet on semi-axis
zbMATH Keywords: operational matrix of derivative
zbMATH Keywords: heat transfer equation in porous medium
author: P. Rahimkhani
author: Y. Ordokhani
MaRDI profile type: Publication
full work available at URL: s40819-018-0555-1
OpenAlex ID: W2889493542
cites work: Buoyancy induced flows in a saturated porous medium adjacent to impermeable horizontal surfaces
cites work: Free convection boundary layers in a saturated porous medium with lateral mass flux
cites work: Comparison between two common collocation approaches based on radial basis functions for the case of heat transfer equations arising in porous medium
cites work: Natural convection above unconfined horizontal surfaces
cites work: Application of homotopy analysis method for natural convection of Darcian fluid about a vertical full cone embedded in porous media prescribed surface heat flux
cites work: Modified rational Legendre approach to laminar viscous flow over a semi-infinite flat plate
cites work: Stable and Efficient Spectral Methods in Unbounded Domains Using Laguerre Functions
cites work: Q4423181
cites work: Gegenbauer approximation and its applications to differential equations with rough asymptotic behaviors at infinity
cites work: Gegenbauer approximation and its applications to differential equations on the whole line
cites work: A comparison of numerical algorithms for Fourier extension of the first, second, and third kinds
cites work: Rational Legendre Approximation for Solving some Physical Problems on Semi-Infinite Intervals
cites work: Rational scaled generalized Laguerre function collocation method for solving the Blasius equation
cites work: Solution of Lane-Emden type equations using rational Bernoulli functions
cites work: Haar wavelet operational matrix method to solve initial value problems: a short survey
cites work: Numerical solution of fractional differential equations using Haar wavelet operational matrix method
cites work: Fractional-order Bernoulli wavelets and their applications
cites work: Numerical solution of fractional pantograph differential equations by using generalized fractional-order Bernoulli wavelet
cites work: Legendre wavelets method for the numerical solution of fractional integro-differential equations with weakly singular kernel
cites work: Numerical treatment for the solution of fractional fifth-order Sawada-Kotera equation using second kind Chebyshev wavelet method
cites work: Müntz-Legendre wavelet operational matrix of fractional-order integration and its applications for solving the fractional pantograph differential equations
cites work: An efficient approximate method for solving delay fractional optimal control problems
cites work: Bernoulli wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations
Wikidata QID: Q129336150
DOI: 10.1007/S40819-018-0555-1
description: scientific article; zbMATH DE number 6954792